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Finding the Third Proportional to 562,351 and 871,003

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Solution

The third proportional to 562,351 and 871,003 is: 1,349,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,351 : 871,003 = 871,003 : x
  2. Step 2: Convert to fraction form
    562,351/871,003 = 871,003/x
  3. Step 3: Cross multiply
    562,351x = 871,003 × 871,003
  4. Step 4: Simplify right side
    562,351x = 758,646,226,009
  5. Step 5: Solve for x
    x = 758,646,226,009/562,351
  6. Step 6: Final answer
    x = 1,349,061.75

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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.