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Finding the Third Proportional to 303,864 and 651,878

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Solution

The third proportional to 303,864 and 651,878 is: 1,398,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,864 : 651,878 = 651,878 : x
  2. Step 2: Convert to fraction form
    303,864/651,878 = 651,878/x
  3. Step 3: Cross multiply
    303,864x = 651,878 × 651,878
  4. Step 4: Simplify right side
    303,864x = 424,944,926,884
  5. Step 5: Solve for x
    x = 424,944,926,884/303,864
  6. Step 6: Final answer
    x = 1,398,470.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.