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Finding the Third Proportional to 502,691.06 and 703,181.25

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Solution

The third proportional to 502,691.06 and 703,181.25 is: 983,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,691.06 : 703,181.25 = 703,181.25 : x
  2. Step 2: Convert to fraction form
    502,691.06/703,181.25 = 703,181.25/x
  3. Step 3: Cross multiply
    502,691.06x = 703,181.25 × 703,181.25
  4. Step 4: Simplify right side
    502,691.06x = 494,463,870,351.56
  5. Step 5: Solve for x
    x = 494,463,870,351.56/502,691.06
  6. Step 6: Final answer
    x = 983,633.70

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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.