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Finding the Third Proportional to 280,464 and 608,496

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Solution

The third proportional to 280,464 and 608,496 is: 1,320,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464 : 608,496 = 608,496 : x
  2. Step 2: Convert to fraction form
    280,464/608,496 = 608,496/x
  3. Step 3: Cross multiply
    280,464x = 608,496 × 608,496
  4. Step 4: Simplify right side
    280,464x = 370,267,382,016
  5. Step 5: Solve for x
    x = 370,267,382,016/280,464
  6. Step 6: Final answer
    x = 1,320,195.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.