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Finding the Third Proportional to 563,652 and 871,722

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Solution

The third proportional to 563,652 and 871,722 is: 1,348,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,652 : 871,722 = 871,722 : x
  2. Step 2: Convert to fraction form
    563,652/871,722 = 871,722/x
  3. Step 3: Cross multiply
    563,652x = 871,722 × 871,722
  4. Step 4: Simplify right side
    563,652x = 759,899,245,284
  5. Step 5: Solve for x
    x = 759,899,245,284/563,652
  6. Step 6: Final answer
    x = 1,348,170.94

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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.