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Finding the Third Proportional to 619,211.25 and 871,985.25

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Solution

The third proportional to 619,211.25 and 871,985.25 is: 1,227,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,211.25 : 871,985.25 = 871,985.25 : x
  2. Step 2: Convert to fraction form
    619,211.25/871,985.25 = 871,985.25/x
  3. Step 3: Cross multiply
    619,211.25x = 871,985.25 × 871,985.25
  4. Step 4: Simplify right side
    619,211.25x = 760,358,276,217.56
  5. Step 5: Solve for x
    x = 760,358,276,217.56/619,211.25
  6. Step 6: Final answer
    x = 1,227,946.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.