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Finding the Third Proportional to 282,710.25 and 615,282.75

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Solution

The third proportional to 282,710.25 and 615,282.75 is: 1,339,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,710.25 : 615,282.75 = 615,282.75 : x
  2. Step 2: Convert to fraction form
    282,710.25/615,282.75 = 615,282.75/x
  3. Step 3: Cross multiply
    282,710.25x = 615,282.75 × 615,282.75
  4. Step 4: Simplify right side
    282,710.25x = 378,572,862,447.56
  5. Step 5: Solve for x
    x = 378,572,862,447.56/282,710.25
  6. Step 6: Final answer
    x = 1,339,084.32

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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.