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Finding the Third Proportional to 283,254.75 and 615,411

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Solution

The third proportional to 283,254.75 and 615,411 is: 1,337,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,254.75 : 615,411 = 615,411 : x
  2. Step 2: Convert to fraction form
    283,254.75/615,411 = 615,411/x
  3. Step 3: Cross multiply
    283,254.75x = 615,411 × 615,411
  4. Step 4: Simplify right side
    283,254.75x = 378,730,698,921
  5. Step 5: Solve for x
    x = 378,730,698,921/283,254.75
  6. Step 6: Final answer
    x = 1,337,067.42

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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.