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Finding the Third Proportional to 398,344 and 871,280

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Solution

The third proportional to 398,344 and 871,280 is: 1,905,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,344 : 871,280 = 871,280 : x
  2. Step 2: Convert to fraction form
    398,344/871,280 = 871,280/x
  3. Step 3: Cross multiply
    398,344x = 871,280 × 871,280
  4. Step 4: Simplify right side
    398,344x = 759,128,838,400
  5. Step 5: Solve for x
    x = 759,128,838,400/398,344
  6. Step 6: Final answer
    x = 1,905,711.74

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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.