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Finding the Third Proportional to 297,114,351.75 and 651,624,270.75

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Solution

The third proportional to 297,114,351.75 and 651,624,270.75 is: 1,429,127,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114,351.75 : 651,624,270.75 = 651,624,270.75 : x
  2. Step 2: Convert to fraction form
    297,114,351.75/651,624,270.75 = 651,624,270.75/x
  3. Step 3: Cross multiply
    297,114,351.75x = 651,624,270.75 × 651,624,270.75
  4. Step 4: Simplify right side
    297,114,351.75x = 424,614,190,230,469,312
  5. Step 5: Solve for x
    x = 424,614,190,230,469,312/297,114,351.75
  6. Step 6: Final answer
    x = 1,429,127,161.75

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