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Finding the Third Proportional to 280,432 and 615,296

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Solution

The third proportional to 280,432 and 615,296 is: 1,350,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,432 : 615,296 = 615,296 : x
  2. Step 2: Convert to fraction form
    280,432/615,296 = 615,296/x
  3. Step 3: Cross multiply
    280,432x = 615,296 × 615,296
  4. Step 4: Simplify right side
    280,432x = 378,589,167,616
  5. Step 5: Solve for x
    x = 378,589,167,616/280,432
  6. Step 6: Final answer
    x = 1,350,021.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.