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Finding the Third Proportional to 312,451.31 and 466,632.56

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Solution

The third proportional to 312,451.31 and 466,632.56 is: 696,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,451.31 : 466,632.56 = 466,632.56 : x
  2. Step 2: Convert to fraction form
    312,451.31/466,632.56 = 466,632.56/x
  3. Step 3: Cross multiply
    312,451.31x = 466,632.56 × 466,632.56
  4. Step 4: Simplify right side
    312,451.31x = 217,745,948,385.32
  5. Step 5: Solve for x
    x = 217,745,948,385.32/312,451.31
  6. Step 6: Final answer
    x = 696,895.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.