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Finding the Third Proportional to 240,452 and 513,076

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Solution

The third proportional to 240,452 and 513,076 is: 1,094,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,452 : 513,076 = 513,076 : x
  2. Step 2: Convert to fraction form
    240,452/513,076 = 513,076/x
  3. Step 3: Cross multiply
    240,452x = 513,076 × 513,076
  4. Step 4: Simplify right side
    240,452x = 263,246,981,776
  5. Step 5: Solve for x
    x = 263,246,981,776/240,452
  6. Step 6: Final answer
    x = 1,094,800.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.