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Finding the Third Proportional to 327,500 and 716,100

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Solution

The third proportional to 327,500 and 716,100 is: 1,565,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,500 : 716,100 = 716,100 : x
  2. Step 2: Convert to fraction form
    327,500/716,100 = 716,100/x
  3. Step 3: Cross multiply
    327,500x = 716,100 × 716,100
  4. Step 4: Simplify right side
    327,500x = 512,799,210,000
  5. Step 5: Solve for x
    x = 512,799,210,000/327,500
  6. Step 6: Final answer
    x = 1,565,799.11

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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.