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Finding the Third Proportional to 332,289 and 711,828

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Solution

The third proportional to 332,289 and 711,828 is: 1,524,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,289 : 711,828 = 711,828 : x
  2. Step 2: Convert to fraction form
    332,289/711,828 = 711,828/x
  3. Step 3: Cross multiply
    332,289x = 711,828 × 711,828
  4. Step 4: Simplify right side
    332,289x = 506,699,101,584
  5. Step 5: Solve for x
    x = 506,699,101,584/332,289
  6. Step 6: Final answer
    x = 1,524,874.74

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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.