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Finding the Third Proportional to 327,693 and 442,733

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Solution

The third proportional to 327,693 and 442,733 is: 598,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,693 : 442,733 = 442,733 : x
  2. Step 2: Convert to fraction form
    327,693/442,733 = 442,733/x
  3. Step 3: Cross multiply
    327,693x = 442,733 × 442,733
  4. Step 4: Simplify right side
    327,693x = 196,012,509,289
  5. Step 5: Solve for x
    x = 196,012,509,289/327,693
  6. Step 6: Final answer
    x = 598,158.98

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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.