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Finding the Third Proportional to 407,884.50 and 897,327

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Solution

The third proportional to 407,884.50 and 897,327 is: 1,974,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,884.50 : 897,327 = 897,327 : x
  2. Step 2: Convert to fraction form
    407,884.50/897,327 = 897,327/x
  3. Step 3: Cross multiply
    407,884.50x = 897,327 × 897,327
  4. Step 4: Simplify right side
    407,884.50x = 805,195,744,929
  5. Step 5: Solve for x
    x = 805,195,744,929/407,884.50
  6. Step 6: Final answer
    x = 1,974,077.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.