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Finding the Third Proportional to 258,126.75 and 553,618.97

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Solution

The third proportional to 258,126.75 and 553,618.97 is: 1,187,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,126.75 : 553,618.97 = 553,618.97 : x
  2. Step 2: Convert to fraction form
    258,126.75/553,618.97 = 553,618.97/x
  3. Step 3: Cross multiply
    258,126.75x = 553,618.97 × 553,618.97
  4. Step 4: Simplify right side
    258,126.75x = 306,493,962,559.81
  5. Step 5: Solve for x
    x = 306,493,962,559.81/258,126.75
  6. Step 6: Final answer
    x = 1,187,377.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.