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Finding the Third Proportional to 250,511 and 441,514

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Solution

The third proportional to 250,511 and 441,514 is: 778,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,511 : 441,514 = 441,514 : x
  2. Step 2: Convert to fraction form
    250,511/441,514 = 441,514/x
  3. Step 3: Cross multiply
    250,511x = 441,514 × 441,514
  4. Step 4: Simplify right side
    250,511x = 194,934,612,196
  5. Step 5: Solve for x
    x = 194,934,612,196/250,511
  6. Step 6: Final answer
    x = 778,147.91

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.