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Finding the Third Proportional to 472,714 and 636,892

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Solution

The third proportional to 472,714 and 636,892 is: 858,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,714 : 636,892 = 636,892 : x
  2. Step 2: Convert to fraction form
    472,714/636,892 = 636,892/x
  3. Step 3: Cross multiply
    472,714x = 636,892 × 636,892
  4. Step 4: Simplify right side
    472,714x = 405,631,419,664
  5. Step 5: Solve for x
    x = 405,631,419,664/472,714
  6. Step 6: Final answer
    x = 858,090.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.