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Finding the Third Proportional to 253,792 and 542,720

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Solution

The third proportional to 253,792 and 542,720 is: 1,160,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,792 : 542,720 = 542,720 : x
  2. Step 2: Convert to fraction form
    253,792/542,720 = 542,720/x
  3. Step 3: Cross multiply
    253,792x = 542,720 × 542,720
  4. Step 4: Simplify right side
    253,792x = 294,544,998,400
  5. Step 5: Solve for x
    x = 294,544,998,400/253,792
  6. Step 6: Final answer
    x = 1,160,576.37

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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.