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Finding the Third Proportional to 297,114,355.50 and 651,624,277.50

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Solution

The third proportional to 297,114,355.50 and 651,624,277.50 is: 1,429,127,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114,355.50 : 651,624,277.50 = 651,624,277.50 : x
  2. Step 2: Convert to fraction form
    297,114,355.50/651,624,277.50 = 651,624,277.50/x
  3. Step 3: Cross multiply
    297,114,355.50x = 651,624,277.50 × 651,624,277.50
  4. Step 4: Simplify right side
    297,114,355.50x = 424,614,199,027,396,992
  5. Step 5: Solve for x
    x = 424,614,199,027,396,992/297,114,355.50
  6. Step 6: Final answer
    x = 1,429,127,173.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.