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Finding the Third Proportional to 562,971.75 and 871,385.25

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Solution

The third proportional to 562,971.75 and 871,385.25 is: 1,348,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,971.75 : 871,385.25 = 871,385.25 : x
  2. Step 2: Convert to fraction form
    562,971.75/871,385.25 = 871,385.25/x
  3. Step 3: Cross multiply
    562,971.75x = 871,385.25 × 871,385.25
  4. Step 4: Simplify right side
    562,971.75x = 759,312,253,917.56
  5. Step 5: Solve for x
    x = 759,312,253,917.56/562,971.75
  6. Step 6: Final answer
    x = 1,348,757.29

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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.