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Finding the Third Proportional to 234,252 and 513,648

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Solution

The third proportional to 234,252 and 513,648 is: 1,126,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,252 : 513,648 = 513,648 : x
  2. Step 2: Convert to fraction form
    234,252/513,648 = 513,648/x
  3. Step 3: Cross multiply
    234,252x = 513,648 × 513,648
  4. Step 4: Simplify right side
    234,252x = 263,834,267,904
  5. Step 5: Solve for x
    x = 263,834,267,904/234,252
  6. Step 6: Final answer
    x = 1,126,283.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.