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Finding the Third Proportional to 513,142 and 764,241

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Solution

The third proportional to 513,142 and 764,241 is: 1,138,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,142 : 764,241 = 764,241 : x
  2. Step 2: Convert to fraction form
    513,142/764,241 = 764,241/x
  3. Step 3: Cross multiply
    513,142x = 764,241 × 764,241
  4. Step 4: Simplify right side
    513,142x = 584,064,306,081
  5. Step 5: Solve for x
    x = 584,064,306,081/513,142
  6. Step 6: Final answer
    x = 1,138,211.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.