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Finding the Third Proportional to 563,246 and 871,608

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Solution

The third proportional to 563,246 and 871,608 is: 1,348,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,246 : 871,608 = 871,608 : x
  2. Step 2: Convert to fraction form
    563,246/871,608 = 871,608/x
  3. Step 3: Cross multiply
    563,246x = 871,608 × 871,608
  4. Step 4: Simplify right side
    563,246x = 759,700,505,664
  5. Step 5: Solve for x
    x = 759,700,505,664/563,246
  6. Step 6: Final answer
    x = 1,348,789.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.