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Finding the Third Proportional to 327,524 and 710,344

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Solution

The third proportional to 327,524 and 710,344 is: 1,540,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,524 : 710,344 = 710,344 : x
  2. Step 2: Convert to fraction form
    327,524/710,344 = 710,344/x
  3. Step 3: Cross multiply
    327,524x = 710,344 × 710,344
  4. Step 4: Simplify right side
    327,524x = 504,588,598,336
  5. Step 5: Solve for x
    x = 504,588,598,336/327,524
  6. Step 6: Final answer
    x = 1,540,615.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.