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Finding the Third Proportional to 496,866 and 702,387

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Solution

The third proportional to 496,866 and 702,387 is: 992,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,866 : 702,387 = 702,387 : x
  2. Step 2: Convert to fraction form
    496,866/702,387 = 702,387/x
  3. Step 3: Cross multiply
    496,866x = 702,387 × 702,387
  4. Step 4: Simplify right side
    496,866x = 493,347,497,769
  5. Step 5: Solve for x
    x = 493,347,497,769/496,866
  6. Step 6: Final answer
    x = 992,918.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.