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Finding the Third Proportional to 547,368.75 and 871,644.38

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Solution

The third proportional to 547,368.75 and 871,644.38 is: 1,388,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,368.75 : 871,644.38 = 871,644.38 : x
  2. Step 2: Convert to fraction form
    547,368.75/871,644.38 = 871,644.38/x
  3. Step 3: Cross multiply
    547,368.75x = 871,644.38 × 871,644.38
  4. Step 4: Simplify right side
    547,368.75x = 759,763,916,469.14
  5. Step 5: Solve for x
    x = 759,763,916,469.14/547,368.75
  6. Step 6: Final answer
    x = 1,388,029.40

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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.