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Finding the Third Proportional to 547,401.75 and 871,689.75

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Solution

The third proportional to 547,401.75 and 871,689.75 is: 1,388,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,401.75 : 871,689.75 = 871,689.75 : x
  2. Step 2: Convert to fraction form
    547,401.75/871,689.75 = 871,689.75/x
  3. Step 3: Cross multiply
    547,401.75x = 871,689.75 × 871,689.75
  4. Step 4: Simplify right side
    547,401.75x = 759,843,020,255.06
  5. Step 5: Solve for x
    x = 759,843,020,255.06/547,401.75
  6. Step 6: Final answer
    x = 1,388,090.23

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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.