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Finding the Third Proportional to 283,012 and 615,992

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Solution

The third proportional to 283,012 and 615,992 is: 1,340,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,012 : 615,992 = 615,992 : x
  2. Step 2: Convert to fraction form
    283,012/615,992 = 615,992/x
  3. Step 3: Cross multiply
    283,012x = 615,992 × 615,992
  4. Step 4: Simplify right side
    283,012x = 379,446,144,064
  5. Step 5: Solve for x
    x = 379,446,144,064/283,012
  6. Step 6: Final answer
    x = 1,340,742.24

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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.