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Finding the Third Proportional to 502,778.25 and 703,287

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Solution

The third proportional to 502,778.25 and 703,287 is: 983,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,778.25 : 703,287 = 703,287 : x
  2. Step 2: Convert to fraction form
    502,778.25/703,287 = 703,287/x
  3. Step 3: Cross multiply
    502,778.25x = 703,287 × 703,287
  4. Step 4: Simplify right side
    502,778.25x = 494,612,604,369
  5. Step 5: Solve for x
    x = 494,612,604,369/502,778.25
  6. Step 6: Final answer
    x = 983,758.95

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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.