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Finding the Third Proportional to 502,778.50 and 703,289

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Solution

The third proportional to 502,778.50 and 703,289 is: 983,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,778.50 : 703,289 = 703,289 : x
  2. Step 2: Convert to fraction form
    502,778.50/703,289 = 703,289/x
  3. Step 3: Cross multiply
    502,778.50x = 703,289 × 703,289
  4. Step 4: Simplify right side
    502,778.50x = 494,615,417,521
  5. Step 5: Solve for x
    x = 494,615,417,521/502,778.50
  6. Step 6: Final answer
    x = 983,764.06

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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.