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Finding the Third Proportional to 323,951,584.50 and 521,668,788.75

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Solution

The third proportional to 323,951,584.50 and 521,668,788.75 is: 840,058,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,951,584.50 : 521,668,788.75 = 521,668,788.75 : x
  2. Step 2: Convert to fraction form
    323,951,584.50/521,668,788.75 = 521,668,788.75/x
  3. Step 3: Cross multiply
    323,951,584.50x = 521,668,788.75 × 521,668,788.75
  4. Step 4: Simplify right side
    323,951,584.50x = 272,138,325,155,892,128
  5. Step 5: Solve for x
    x = 272,138,325,155,892,128/323,951,584.50
  6. Step 6: Final answer
    x = 840,058,632.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.