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Finding the Third Proportional to 179,412 and 386,472

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Solution

The third proportional to 179,412 and 386,472 is: 832,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,412 : 386,472 = 386,472 : x
  2. Step 2: Convert to fraction form
    179,412/386,472 = 386,472/x
  3. Step 3: Cross multiply
    179,412x = 386,472 × 386,472
  4. Step 4: Simplify right side
    179,412x = 149,360,606,784
  5. Step 5: Solve for x
    x = 149,360,606,784/179,412
  6. Step 6: Final answer
    x = 832,500.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.