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Finding the Third Proportional to 282,781.50 and 615,317

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Solution

The third proportional to 282,781.50 and 615,317 is: 1,338,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,781.50 : 615,317 = 615,317 : x
  2. Step 2: Convert to fraction form
    282,781.50/615,317 = 615,317/x
  3. Step 3: Cross multiply
    282,781.50x = 615,317 × 615,317
  4. Step 4: Simplify right side
    282,781.50x = 378,615,010,489
  5. Step 5: Solve for x
    x = 378,615,010,489/282,781.50
  6. Step 6: Final answer
    x = 1,338,895.97

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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.