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Finding the Third Proportional to 283,008 and 615,984

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Solution

The third proportional to 283,008 and 615,984 is: 1,340,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,008 : 615,984 = 615,984 : x
  2. Step 2: Convert to fraction form
    283,008/615,984 = 615,984/x
  3. Step 3: Cross multiply
    283,008x = 615,984 × 615,984
  4. Step 4: Simplify right side
    283,008x = 379,436,288,256
  5. Step 5: Solve for x
    x = 379,436,288,256/283,008
  6. Step 6: Final answer
    x = 1,340,726.37

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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.