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Finding the Third Proportional to 416,348 and 811,960

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Solution

The third proportional to 416,348 and 811,960 is: 1,583,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,348 : 811,960 = 811,960 : x
  2. Step 2: Convert to fraction form
    416,348/811,960 = 811,960/x
  3. Step 3: Cross multiply
    416,348x = 811,960 × 811,960
  4. Step 4: Simplify right side
    416,348x = 659,279,041,600
  5. Step 5: Solve for x
    x = 659,279,041,600/416,348
  6. Step 6: Final answer
    x = 1,583,480.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.