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Finding the Third Proportional to 185,656 and 392,480

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Solution

The third proportional to 185,656 and 392,480 is: 829,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,656 : 392,480 = 392,480 : x
  2. Step 2: Convert to fraction form
    185,656/392,480 = 392,480/x
  3. Step 3: Cross multiply
    185,656x = 392,480 × 392,480
  4. Step 4: Simplify right side
    185,656x = 154,040,550,400
  5. Step 5: Solve for x
    x = 154,040,550,400/185,656
  6. Step 6: Final answer
    x = 829,709.52

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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.