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Finding the Third Proportional to 416,548 and 908,480

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Solution

The third proportional to 416,548 and 908,480 is: 1,981,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,548 : 908,480 = 908,480 : x
  2. Step 2: Convert to fraction form
    416,548/908,480 = 908,480/x
  3. Step 3: Cross multiply
    416,548x = 908,480 × 908,480
  4. Step 4: Simplify right side
    416,548x = 825,335,910,400
  5. Step 5: Solve for x
    x = 825,335,910,400/416,548
  6. Step 6: Final answer
    x = 1,981,370.48

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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.