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Finding the Third Proportional to 234,432 and 367,488

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Solution

The third proportional to 234,432 and 367,488 is: 576,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,432 : 367,488 = 367,488 : x
  2. Step 2: Convert to fraction form
    234,432/367,488 = 367,488/x
  3. Step 3: Cross multiply
    234,432x = 367,488 × 367,488
  4. Step 4: Simplify right side
    234,432x = 135,047,430,144
  5. Step 5: Solve for x
    x = 135,047,430,144/234,432
  6. Step 6: Final answer
    x = 576,062.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.