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Finding the Third Proportional to 475,842 and 652,491

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Solution

The third proportional to 475,842 and 652,491 is: 894,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,842 : 652,491 = 652,491 : x
  2. Step 2: Convert to fraction form
    475,842/652,491 = 652,491/x
  3. Step 3: Cross multiply
    475,842x = 652,491 × 652,491
  4. Step 4: Simplify right side
    475,842x = 425,744,505,081
  5. Step 5: Solve for x
    x = 425,744,505,081/475,842
  6. Step 6: Final answer
    x = 894,718.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.