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Finding the Third Proportional to 327,737 and 442,798

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Solution

The third proportional to 327,737 and 442,798 is: 598,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,737 : 442,798 = 442,798 : x
  2. Step 2: Convert to fraction form
    327,737/442,798 = 442,798/x
  3. Step 3: Cross multiply
    327,737x = 442,798 × 442,798
  4. Step 4: Simplify right side
    327,737x = 196,070,068,804
  5. Step 5: Solve for x
    x = 196,070,068,804/327,737
  6. Step 6: Final answer
    x = 598,254.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.