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Finding the Third Proportional to 562,353 and 871,006

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Solution

The third proportional to 562,353 and 871,006 is: 1,349,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,353 : 871,006 = 871,006 : x
  2. Step 2: Convert to fraction form
    562,353/871,006 = 871,006/x
  3. Step 3: Cross multiply
    562,353x = 871,006 × 871,006
  4. Step 4: Simplify right side
    562,353x = 758,651,452,036
  5. Step 5: Solve for x
    x = 758,651,452,036/562,353
  6. Step 6: Final answer
    x = 1,349,066.25

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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.