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Finding the Third Proportional to 283,033.50 and 615,892.50

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Solution

The third proportional to 283,033.50 and 615,892.50 is: 1,340,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,033.50 : 615,892.50 = 615,892.50 : x
  2. Step 2: Convert to fraction form
    283,033.50/615,892.50 = 615,892.50/x
  3. Step 3: Cross multiply
    283,033.50x = 615,892.50 × 615,892.50
  4. Step 4: Simplify right side
    283,033.50x = 379,323,571,556.25
  5. Step 5: Solve for x
    x = 379,323,571,556.25/283,033.50
  6. Step 6: Final answer
    x = 1,340,207.33

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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.