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Finding the Third Proportional to 547,370.25 and 871,647

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Solution

The third proportional to 547,370.25 and 871,647 is: 1,388,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,370.25 : 871,647 = 871,647 : x
  2. Step 2: Convert to fraction form
    547,370.25/871,647 = 871,647/x
  3. Step 3: Cross multiply
    547,370.25x = 871,647 × 871,647
  4. Step 4: Simplify right side
    547,370.25x = 759,768,492,609
  5. Step 5: Solve for x
    x = 759,768,492,609/547,370.25
  6. Step 6: Final answer
    x = 1,388,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.