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Finding the Third Proportional to 281,974.50 and 615,393

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Solution

The third proportional to 281,974.50 and 615,393 is: 1,343,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,974.50 : 615,393 = 615,393 : x
  2. Step 2: Convert to fraction form
    281,974.50/615,393 = 615,393/x
  3. Step 3: Cross multiply
    281,974.50x = 615,393 × 615,393
  4. Step 4: Simplify right side
    281,974.50x = 378,708,544,449
  5. Step 5: Solve for x
    x = 378,708,544,449/281,974.50
  6. Step 6: Final answer
    x = 1,343,059.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.