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Finding the Third Proportional to 241,427 and 519,670

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Solution

The third proportional to 241,427 and 519,670 is: 1,118,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,427 : 519,670 = 519,670 : x
  2. Step 2: Convert to fraction form
    241,427/519,670 = 519,670/x
  3. Step 3: Cross multiply
    241,427x = 519,670 × 519,670
  4. Step 4: Simplify right side
    241,427x = 270,056,908,900
  5. Step 5: Solve for x
    x = 270,056,908,900/241,427
  6. Step 6: Final answer
    x = 1,118,586.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.