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Finding the Third Proportional to 250,608 and 542,772

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Solution

The third proportional to 250,608 and 542,772 is: 1,175,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,608 : 542,772 = 542,772 : x
  2. Step 2: Convert to fraction form
    250,608/542,772 = 542,772/x
  3. Step 3: Cross multiply
    250,608x = 542,772 × 542,772
  4. Step 4: Simplify right side
    250,608x = 294,601,443,984
  5. Step 5: Solve for x
    x = 294,601,443,984/250,608
  6. Step 6: Final answer
    x = 1,175,546.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.