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Finding the Third Proportional to 150,585 and 327,411

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Solution

The third proportional to 150,585 and 327,411 is: 711,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,585 : 327,411 = 327,411 : x
  2. Step 2: Convert to fraction form
    150,585/327,411 = 327,411/x
  3. Step 3: Cross multiply
    150,585x = 327,411 × 327,411
  4. Step 4: Simplify right side
    150,585x = 107,197,962,921
  5. Step 5: Solve for x
    x = 107,197,962,921/150,585
  6. Step 6: Final answer
    x = 711,876.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.