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Finding the Third Proportional to 383,514 and 601,650

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Solution

The third proportional to 383,514 and 601,650 is: 943,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,514 : 601,650 = 601,650 : x
  2. Step 2: Convert to fraction form
    383,514/601,650 = 601,650/x
  3. Step 3: Cross multiply
    383,514x = 601,650 × 601,650
  4. Step 4: Simplify right side
    383,514x = 361,982,722,500
  5. Step 5: Solve for x
    x = 361,982,722,500/383,514
  6. Step 6: Final answer
    x = 943,857.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.