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Finding the Third Proportional to 347,976 and 511,758

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Solution

The third proportional to 347,976 and 511,758 is: 752,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,976 : 511,758 = 511,758 : x
  2. Step 2: Convert to fraction form
    347,976/511,758 = 511,758/x
  3. Step 3: Cross multiply
    347,976x = 511,758 × 511,758
  4. Step 4: Simplify right side
    347,976x = 261,896,250,564
  5. Step 5: Solve for x
    x = 261,896,250,564/347,976
  6. Step 6: Final answer
    x = 752,627.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.