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Finding the Third Proportional to 282,865 and 615,545

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Solution

The third proportional to 282,865 and 615,545 is: 1,339,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,865 : 615,545 = 615,545 : x
  2. Step 2: Convert to fraction form
    282,865/615,545 = 615,545/x
  3. Step 3: Cross multiply
    282,865x = 615,545 × 615,545
  4. Step 4: Simplify right side
    282,865x = 378,895,647,025
  5. Step 5: Solve for x
    x = 378,895,647,025/282,865
  6. Step 6: Final answer
    x = 1,339,492.86

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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.