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Finding the Third Proportional to 359,221.92 and 598,679.44

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Solution

The third proportional to 359,221.92 and 598,679.44 is: 997,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,221.92 : 598,679.44 = 598,679.44 : x
  2. Step 2: Convert to fraction form
    359,221.92/598,679.44 = 598,679.44/x
  3. Step 3: Cross multiply
    359,221.92x = 598,679.44 × 598,679.44
  4. Step 4: Simplify right side
    359,221.92x = 358,417,068,885.32
  5. Step 5: Solve for x
    x = 358,417,068,885.32/359,221.92
  6. Step 6: Final answer
    x = 997,759.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.