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Finding the Third Proportional to 258,028 and 398,708

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Solution

The third proportional to 258,028 and 398,708 is: 616,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,028 : 398,708 = 398,708 : x
  2. Step 2: Convert to fraction form
    258,028/398,708 = 398,708/x
  3. Step 3: Cross multiply
    258,028x = 398,708 × 398,708
  4. Step 4: Simplify right side
    258,028x = 158,968,069,264
  5. Step 5: Solve for x
    x = 158,968,069,264/258,028
  6. Step 6: Final answer
    x = 616,088.44

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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.