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Finding the Third Proportional to 283,209.75 and 615,721.50

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Solution

The third proportional to 283,209.75 and 615,721.50 is: 1,338,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,209.75 : 615,721.50 = 615,721.50 : x
  2. Step 2: Convert to fraction form
    283,209.75/615,721.50 = 615,721.50/x
  3. Step 3: Cross multiply
    283,209.75x = 615,721.50 × 615,721.50
  4. Step 4: Simplify right side
    283,209.75x = 379,112,965,562.25
  5. Step 5: Solve for x
    x = 379,112,965,562.25/283,209.75
  6. Step 6: Final answer
    x = 1,338,629.64

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