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Finding the Third Proportional to 621,657 and 736,475

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Solution

The third proportional to 621,657 and 736,475 is: 872,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,657 : 736,475 = 736,475 : x
  2. Step 2: Convert to fraction form
    621,657/736,475 = 736,475/x
  3. Step 3: Cross multiply
    621,657x = 736,475 × 736,475
  4. Step 4: Simplify right side
    621,657x = 542,395,425,625
  5. Step 5: Solve for x
    x = 542,395,425,625/621,657
  6. Step 6: Final answer
    x = 872,499.51

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.