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Finding the Third Proportional to 327,521 and 497,190

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Solution

The third proportional to 327,521 and 497,190 is: 754,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,521 : 497,190 = 497,190 : x
  2. Step 2: Convert to fraction form
    327,521/497,190 = 497,190/x
  3. Step 3: Cross multiply
    327,521x = 497,190 × 497,190
  4. Step 4: Simplify right side
    327,521x = 247,197,896,100
  5. Step 5: Solve for x
    x = 247,197,896,100/327,521
  6. Step 6: Final answer
    x = 754,754.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.