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Finding the Third Proportional to 270,613 and 587,327.50

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Solution

The third proportional to 270,613 and 587,327.50 is: 1,274,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,613 : 587,327.50 = 587,327.50 : x
  2. Step 2: Convert to fraction form
    270,613/587,327.50 = 587,327.50/x
  3. Step 3: Cross multiply
    270,613x = 587,327.50 × 587,327.50
  4. Step 4: Simplify right side
    270,613x = 344,953,592,256.25
  5. Step 5: Solve for x
    x = 344,953,592,256.25/270,613
  6. Step 6: Final answer
    x = 1,274,711.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.