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Finding the Third Proportional to 283,035 and 615,895

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Solution

The third proportional to 283,035 and 615,895 is: 1,340,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,035 : 615,895 = 615,895 : x
  2. Step 2: Convert to fraction form
    283,035/615,895 = 615,895/x
  3. Step 3: Cross multiply
    283,035x = 615,895 × 615,895
  4. Step 4: Simplify right side
    283,035x = 379,326,651,025
  5. Step 5: Solve for x
    x = 379,326,651,025/283,035
  6. Step 6: Final answer
    x = 1,340,211.11

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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.