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Finding the Third Proportional to 393,301.50 and 862,419

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Solution

The third proportional to 393,301.50 and 862,419 is: 1,891,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,301.50 : 862,419 = 862,419 : x
  2. Step 2: Convert to fraction form
    393,301.50/862,419 = 862,419/x
  3. Step 3: Cross multiply
    393,301.50x = 862,419 × 862,419
  4. Step 4: Simplify right side
    393,301.50x = 743,766,531,561
  5. Step 5: Solve for x
    x = 743,766,531,561/393,301.50
  6. Step 6: Final answer
    x = 1,891,084.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.