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Finding the Third Proportional to 241,472 and 524,463

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Solution

The third proportional to 241,472 and 524,463 is: 1,139,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,472 : 524,463 = 524,463 : x
  2. Step 2: Convert to fraction form
    241,472/524,463 = 524,463/x
  3. Step 3: Cross multiply
    241,472x = 524,463 × 524,463
  4. Step 4: Simplify right side
    241,472x = 275,061,438,369
  5. Step 5: Solve for x
    x = 275,061,438,369/241,472
  6. Step 6: Final answer
    x = 1,139,102.83

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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.