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Finding the Third Proportional to 562,504 and 871,215

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Solution

The third proportional to 562,504 and 871,215 is: 1,349,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,504 : 871,215 = 871,215 : x
  2. Step 2: Convert to fraction form
    562,504/871,215 = 871,215/x
  3. Step 3: Cross multiply
    562,504x = 871,215 × 871,215
  4. Step 4: Simplify right side
    562,504x = 759,015,576,225
  5. Step 5: Solve for x
    x = 759,015,576,225/562,504
  6. Step 6: Final answer
    x = 1,349,351.43

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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.