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Finding the Third Proportional to 502,772.25 and 703,279.13

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Solution

The third proportional to 502,772.25 and 703,279.13 is: 983,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,772.25 : 703,279.13 = 703,279.13 : x
  2. Step 2: Convert to fraction form
    502,772.25/703,279.13 = 703,279.13/x
  3. Step 3: Cross multiply
    502,772.25x = 703,279.13 × 703,279.13
  4. Step 4: Simplify right side
    502,772.25x = 494,601,527,660.77
  5. Step 5: Solve for x
    x = 494,601,527,660.77/502,772.25
  6. Step 6: Final answer
    x = 983,748.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.