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Finding the Third Proportional to 395,552 and 871,792

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Solution

The third proportional to 395,552 and 871,792 is: 1,921,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,552 : 871,792 = 871,792 : x
  2. Step 2: Convert to fraction form
    395,552/871,792 = 871,792/x
  3. Step 3: Cross multiply
    395,552x = 871,792 × 871,792
  4. Step 4: Simplify right side
    395,552x = 760,021,291,264
  5. Step 5: Solve for x
    x = 760,021,291,264/395,552
  6. Step 6: Final answer
    x = 1,921,419.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.