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Finding the Third Proportional to 327,924 and 716,600

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Solution

The third proportional to 327,924 and 716,600 is: 1,565,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,924 : 716,600 = 716,600 : x
  2. Step 2: Convert to fraction form
    327,924/716,600 = 716,600/x
  3. Step 3: Cross multiply
    327,924x = 716,600 × 716,600
  4. Step 4: Simplify right side
    327,924x = 513,515,560,000
  5. Step 5: Solve for x
    x = 513,515,560,000/327,924
  6. Step 6: Final answer
    x = 1,565,959.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.