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Finding the Third Proportional to 598,614.75 and 929,401.13

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Solution

The third proportional to 598,614.75 and 929,401.13 is: 1,442,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,614.75 : 929,401.13 = 929,401.13 : x
  2. Step 2: Convert to fraction form
    598,614.75/929,401.13 = 929,401.13/x
  3. Step 3: Cross multiply
    598,614.75x = 929,401.13 × 929,401.13
  4. Step 4: Simplify right side
    598,614.75x = 863,786,451,151.27
  5. Step 5: Solve for x
    x = 863,786,451,151.27/598,614.75
  6. Step 6: Final answer
    x = 1,442,975.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.