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Finding the Third Proportional to 548,252 and 799,042

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Solution

The third proportional to 548,252 and 799,042 is: 1,164,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,252 : 799,042 = 799,042 : x
  2. Step 2: Convert to fraction form
    548,252/799,042 = 799,042/x
  3. Step 3: Cross multiply
    548,252x = 799,042 × 799,042
  4. Step 4: Simplify right side
    548,252x = 638,468,117,764
  5. Step 5: Solve for x
    x = 638,468,117,764/548,252
  6. Step 6: Final answer
    x = 1,164,552.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.