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Finding the Third Proportional to 629,734.50 and 732,098.25

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Solution

The third proportional to 629,734.50 and 732,098.25 is: 851,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,734.50 : 732,098.25 = 732,098.25 : x
  2. Step 2: Convert to fraction form
    629,734.50/732,098.25 = 732,098.25/x
  3. Step 3: Cross multiply
    629,734.50x = 732,098.25 × 732,098.25
  4. Step 4: Simplify right side
    629,734.50x = 535,967,847,653.06
  5. Step 5: Solve for x
    x = 535,967,847,653.06/629,734.50
  6. Step 6: Final answer
    x = 851,101.29

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.