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Finding the Third Proportional to 282,804.75 and 615,366

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Solution

The third proportional to 282,804.75 and 615,366 is: 1,338,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,804.75 : 615,366 = 615,366 : x
  2. Step 2: Convert to fraction form
    282,804.75/615,366 = 615,366/x
  3. Step 3: Cross multiply
    282,804.75x = 615,366 × 615,366
  4. Step 4: Simplify right side
    282,804.75x = 378,675,313,956
  5. Step 5: Solve for x
    x = 378,675,313,956/282,804.75
  6. Step 6: Final answer
    x = 1,338,999.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.