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Finding the Third Proportional to 280,464 and 615,360

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Solution

The third proportional to 280,464 and 615,360 is: 1,350,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464 : 615,360 = 615,360 : x
  2. Step 2: Convert to fraction form
    280,464/615,360 = 615,360/x
  3. Step 3: Cross multiply
    280,464x = 615,360 × 615,360
  4. Step 4: Simplify right side
    280,464x = 378,667,929,600
  5. Step 5: Solve for x
    x = 378,667,929,600/280,464
  6. Step 6: Final answer
    x = 1,350,148.07

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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.