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Finding the Third Proportional to 239,142 and 512,628

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Solution

The third proportional to 239,142 and 512,628 is: 1,098,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,142 : 512,628 = 512,628 : x
  2. Step 2: Convert to fraction form
    239,142/512,628 = 512,628/x
  3. Step 3: Cross multiply
    239,142x = 512,628 × 512,628
  4. Step 4: Simplify right side
    239,142x = 262,787,466,384
  5. Step 5: Solve for x
    x = 262,787,466,384/239,142
  6. Step 6: Final answer
    x = 1,098,876.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.