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Finding the Third Proportional to 258,000 and 398,504

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Solution

The third proportional to 258,000 and 398,504 is: 615,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,000 : 398,504 = 398,504 : x
  2. Step 2: Convert to fraction form
    258,000/398,504 = 398,504/x
  3. Step 3: Cross multiply
    258,000x = 398,504 × 398,504
  4. Step 4: Simplify right side
    258,000x = 158,805,438,016
  5. Step 5: Solve for x
    x = 158,805,438,016/258,000
  6. Step 6: Final answer
    x = 615,524.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.