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Finding the Third Proportional to 301,350.38 and 466,909.31

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Solution

The third proportional to 301,350.38 and 466,909.31 is: 723,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,350.38 : 466,909.31 = 466,909.31 : x
  2. Step 2: Convert to fraction form
    301,350.38/466,909.31 = 466,909.31/x
  3. Step 3: Cross multiply
    301,350.38x = 466,909.31 × 466,909.31
  4. Step 4: Simplify right side
    301,350.38x = 218,004,306,099.22
  5. Step 5: Solve for x
    x = 218,004,306,099.22/301,350.38
  6. Step 6: Final answer
    x = 723,424.70

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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.