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Finding the Third Proportional to 241,384 and 521,612

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Solution

The third proportional to 241,384 and 521,612 is: 1,127,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,384 : 521,612 = 521,612 : x
  2. Step 2: Convert to fraction form
    241,384/521,612 = 521,612/x
  3. Step 3: Cross multiply
    241,384x = 521,612 × 521,612
  4. Step 4: Simplify right side
    241,384x = 272,079,078,544
  5. Step 5: Solve for x
    x = 272,079,078,544/241,384
  6. Step 6: Final answer
    x = 1,127,162.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.