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Finding the Third Proportional to 258,000 and 398,670

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Solution

The third proportional to 258,000 and 398,670 is: 616,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,000 : 398,670 = 398,670 : x
  2. Step 2: Convert to fraction form
    258,000/398,670 = 398,670/x
  3. Step 3: Cross multiply
    258,000x = 398,670 × 398,670
  4. Step 4: Simplify right side
    258,000x = 158,937,768,900
  5. Step 5: Solve for x
    x = 158,937,768,900/258,000
  6. Step 6: Final answer
    x = 616,037.86

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