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Finding the Third Proportional to 250,442 and 512,404

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Solution

The third proportional to 250,442 and 512,404 is: 1,048,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,442 : 512,404 = 512,404 : x
  2. Step 2: Convert to fraction form
    250,442/512,404 = 512,404/x
  3. Step 3: Cross multiply
    250,442x = 512,404 × 512,404
  4. Step 4: Simplify right side
    250,442x = 262,557,859,216
  5. Step 5: Solve for x
    x = 262,557,859,216/250,442
  6. Step 6: Final answer
    x = 1,048,377.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.