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Finding the Third Proportional to 185,652 and 392,472

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Solution

The third proportional to 185,652 and 392,472 is: 829,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,652 : 392,472 = 392,472 : x
  2. Step 2: Convert to fraction form
    185,652/392,472 = 392,472/x
  3. Step 3: Cross multiply
    185,652x = 392,472 × 392,472
  4. Step 4: Simplify right side
    185,652x = 154,034,270,784
  5. Step 5: Solve for x
    x = 154,034,270,784/185,652
  6. Step 6: Final answer
    x = 829,693.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.