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Finding the Third Proportional to 297,628.50 and 702,448.50

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Solution

The third proportional to 297,628.50 and 702,448.50 is: 1,657,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,628.50 : 702,448.50 = 702,448.50 : x
  2. Step 2: Convert to fraction form
    297,628.50/702,448.50 = 702,448.50/x
  3. Step 3: Cross multiply
    297,628.50x = 702,448.50 × 702,448.50
  4. Step 4: Simplify right side
    297,628.50x = 493,433,895,152.25
  5. Step 5: Solve for x
    x = 493,433,895,152.25/297,628.50
  6. Step 6: Final answer
    x = 1,657,885.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.