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Finding the Third Proportional to 257,964 and 398,616

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Solution

The third proportional to 257,964 and 398,616 is: 615,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,964 : 398,616 = 398,616 : x
  2. Step 2: Convert to fraction form
    257,964/398,616 = 398,616/x
  3. Step 3: Cross multiply
    257,964x = 398,616 × 398,616
  4. Step 4: Simplify right side
    257,964x = 158,894,715,456
  5. Step 5: Solve for x
    x = 158,894,715,456/257,964
  6. Step 6: Final answer
    x = 615,956.94

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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.