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Finding the Third Proportional to 327,539 and 497,222

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Solution

The third proportional to 327,539 and 497,222 is: 754,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,539 : 497,222 = 497,222 : x
  2. Step 2: Convert to fraction form
    327,539/497,222 = 497,222/x
  3. Step 3: Cross multiply
    327,539x = 497,222 × 497,222
  4. Step 4: Simplify right side
    327,539x = 247,229,717,284
  5. Step 5: Solve for x
    x = 247,229,717,284/327,539
  6. Step 6: Final answer
    x = 754,810.01

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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.