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Finding the Third Proportional to 282,665 and 615,267

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Solution

The third proportional to 282,665 and 615,267 is: 1,339,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,665 : 615,267 = 615,267 : x
  2. Step 2: Convert to fraction form
    282,665/615,267 = 615,267/x
  3. Step 3: Cross multiply
    282,665x = 615,267 × 615,267
  4. Step 4: Simplify right side
    282,665x = 378,553,481,289
  5. Step 5: Solve for x
    x = 378,553,481,289/282,665
  6. Step 6: Final answer
    x = 1,339,230.12

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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.