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Finding the Third Proportional to 327,352 and 706,346

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Solution

The third proportional to 327,352 and 706,346 is: 1,524,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,352 : 706,346 = 706,346 : x
  2. Step 2: Convert to fraction form
    327,352/706,346 = 706,346/x
  3. Step 3: Cross multiply
    327,352x = 706,346 × 706,346
  4. Step 4: Simplify right side
    327,352x = 498,924,671,716
  5. Step 5: Solve for x
    x = 498,924,671,716/327,352
  6. Step 6: Final answer
    x = 1,524,122.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.