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Finding the Third Proportional to 332,298 and 711,846

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Solution

The third proportional to 332,298 and 711,846 is: 1,524,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,298 : 711,846 = 711,846 : x
  2. Step 2: Convert to fraction form
    332,298/711,846 = 711,846/x
  3. Step 3: Cross multiply
    332,298x = 711,846 × 711,846
  4. Step 4: Simplify right side
    332,298x = 506,724,727,716
  5. Step 5: Solve for x
    x = 506,724,727,716/332,298
  6. Step 6: Final answer
    x = 1,524,910.56

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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.