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Finding the Third Proportional to 562,497 and 871,206

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Solution

The third proportional to 562,497 and 871,206 is: 1,349,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,497 : 871,206 = 871,206 : x
  2. Step 2: Convert to fraction form
    562,497/871,206 = 871,206/x
  3. Step 3: Cross multiply
    562,497x = 871,206 × 871,206
  4. Step 4: Simplify right side
    562,497x = 758,999,894,436
  5. Step 5: Solve for x
    x = 758,999,894,436/562,497
  6. Step 6: Final answer
    x = 1,349,340.34

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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.