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Finding the Third Proportional to 234,432 and 513,576

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Solution

The third proportional to 234,432 and 513,576 is: 1,125,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,432 : 513,576 = 513,576 : x
  2. Step 2: Convert to fraction form
    234,432/513,576 = 513,576/x
  3. Step 3: Cross multiply
    234,432x = 513,576 × 513,576
  4. Step 4: Simplify right side
    234,432x = 263,760,307,776
  5. Step 5: Solve for x
    x = 263,760,307,776/234,432
  6. Step 6: Final answer
    x = 1,125,103.69

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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.