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Finding the Third Proportional to 332,107 and 711,458

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Solution

The third proportional to 332,107 and 711,458 is: 1,524,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,107 : 711,458 = 711,458 : x
  2. Step 2: Convert to fraction form
    332,107/711,458 = 711,458/x
  3. Step 3: Cross multiply
    332,107x = 711,458 × 711,458
  4. Step 4: Simplify right side
    332,107x = 506,172,485,764
  5. Step 5: Solve for x
    x = 506,172,485,764/332,107
  6. Step 6: Final answer
    x = 1,524,124.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.