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Finding the Third Proportional to 502,780 and 703,291

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Solution

The third proportional to 502,780 and 703,291 is: 983,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,780 : 703,291 = 703,291 : x
  2. Step 2: Convert to fraction form
    502,780/703,291 = 703,291/x
  3. Step 3: Cross multiply
    502,780x = 703,291 × 703,291
  4. Step 4: Simplify right side
    502,780x = 494,618,230,681
  5. Step 5: Solve for x
    x = 494,618,230,681/502,780
  6. Step 6: Final answer
    x = 983,766.72

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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.