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Finding the Third Proportional to 416,550 and 908,484

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Solution

The third proportional to 416,550 and 908,484 is: 1,981,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,550 : 908,484 = 908,484 : x
  2. Step 2: Convert to fraction form
    416,550/908,484 = 908,484/x
  3. Step 3: Cross multiply
    416,550x = 908,484 × 908,484
  4. Step 4: Simplify right side
    416,550x = 825,343,178,256
  5. Step 5: Solve for x
    x = 825,343,178,256/416,550
  6. Step 6: Final answer
    x = 1,981,378.41

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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.