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Finding the Third Proportional to 492,490.13 and 707,631.19

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Solution

The third proportional to 492,490.13 and 707,631.19 is: 1,016,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,490.13 : 707,631.19 = 707,631.19 : x
  2. Step 2: Convert to fraction form
    492,490.13/707,631.19 = 707,631.19/x
  3. Step 3: Cross multiply
    492,490.13x = 707,631.19 × 707,631.19
  4. Step 4: Simplify right side
    492,490.13x = 500,741,897,522.66
  5. Step 5: Solve for x
    x = 500,741,897,522.66/492,490.13
  6. Step 6: Final answer
    x = 1,016,755.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.