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Finding the Third Proportional to 393,118.50 and 852,981

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Solution

The third proportional to 393,118.50 and 852,981 is: 1,850,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,118.50 : 852,981 = 852,981 : x
  2. Step 2: Convert to fraction form
    393,118.50/852,981 = 852,981/x
  3. Step 3: Cross multiply
    393,118.50x = 852,981 × 852,981
  4. Step 4: Simplify right side
    393,118.50x = 727,576,586,361
  5. Step 5: Solve for x
    x = 727,576,586,361/393,118.50
  6. Step 6: Final answer
    x = 1,850,781.85

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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.