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Finding the Third Proportional to 407,023.50 and 598,342.50

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Solution

The third proportional to 407,023.50 and 598,342.50 is: 879,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,023.50 : 598,342.50 = 598,342.50 : x
  2. Step 2: Convert to fraction form
    407,023.50/598,342.50 = 598,342.50/x
  3. Step 3: Cross multiply
    407,023.50x = 598,342.50 × 598,342.50
  4. Step 4: Simplify right side
    407,023.50x = 358,013,747,306.25
  5. Step 5: Solve for x
    x = 358,013,747,306.25/407,023.50
  6. Step 6: Final answer
    x = 879,589.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.