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Finding the Third Proportional to 255,566 and 396,854

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Solution

The third proportional to 255,566 and 396,854 is: 616,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,566 : 396,854 = 396,854 : x
  2. Step 2: Convert to fraction form
    255,566/396,854 = 396,854/x
  3. Step 3: Cross multiply
    255,566x = 396,854 × 396,854
  4. Step 4: Simplify right side
    255,566x = 157,493,097,316
  5. Step 5: Solve for x
    x = 157,493,097,316/255,566
  6. Step 6: Final answer
    x = 616,252.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.