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Finding the Third Proportional to 547,374 and 871,651.50

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Solution

The third proportional to 547,374 and 871,651.50 is: 1,388,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,374 : 871,651.50 = 871,651.50 : x
  2. Step 2: Convert to fraction form
    547,374/871,651.50 = 871,651.50/x
  3. Step 3: Cross multiply
    547,374x = 871,651.50 × 871,651.50
  4. Step 4: Simplify right side
    547,374x = 759,776,337,452.25
  5. Step 5: Solve for x
    x = 759,776,337,452.25/547,374
  6. Step 6: Final answer
    x = 1,388,038.78

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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.