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Finding the Third Proportional to 258,238.13 and 400,828.50

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Solution

The third proportional to 258,238.13 and 400,828.50 is: 622,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,238.13 : 400,828.50 = 400,828.50 : x
  2. Step 2: Convert to fraction form
    258,238.13/400,828.50 = 400,828.50/x
  3. Step 3: Cross multiply
    258,238.13x = 400,828.50 × 400,828.50
  4. Step 4: Simplify right side
    258,238.13x = 160,663,486,412.25
  5. Step 5: Solve for x
    x = 160,663,486,412.25/258,238.13
  6. Step 6: Final answer
    x = 622,152.47

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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.