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Finding the Third Proportional to 327,677.91 and 442,712.25

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Solution

The third proportional to 327,677.91 and 442,712.25 is: 598,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,677.91 : 442,712.25 = 442,712.25 : x
  2. Step 2: Convert to fraction form
    327,677.91/442,712.25 = 442,712.25/x
  3. Step 3: Cross multiply
    327,677.91x = 442,712.25 × 442,712.25
  4. Step 4: Simplify right side
    327,677.91x = 195,994,136,300.06
  5. Step 5: Solve for x
    x = 195,994,136,300.06/327,677.91
  6. Step 6: Final answer
    x = 598,130.46

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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.