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Finding the Third Proportional to 406,806 and 629,892

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Solution

The third proportional to 406,806 and 629,892 is: 975,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,806 : 629,892 = 629,892 : x
  2. Step 2: Convert to fraction form
    406,806/629,892 = 629,892/x
  3. Step 3: Cross multiply
    406,806x = 629,892 × 629,892
  4. Step 4: Simplify right side
    406,806x = 396,763,931,664
  5. Step 5: Solve for x
    x = 396,763,931,664/406,806
  6. Step 6: Final answer
    x = 975,314.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.