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Finding the Third Proportional to 280,512 and 615,376

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Solution

The third proportional to 280,512 and 615,376 is: 1,349,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512 : 615,376 = 615,376 : x
  2. Step 2: Convert to fraction form
    280,512/615,376 = 615,376/x
  3. Step 3: Cross multiply
    280,512x = 615,376 × 615,376
  4. Step 4: Simplify right side
    280,512x = 378,687,621,376
  5. Step 5: Solve for x
    x = 378,687,621,376/280,512
  6. Step 6: Final answer
    x = 1,349,987.24

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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.