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Finding the Third Proportional to 655,431.75 and 897,004.13

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Solution

The third proportional to 655,431.75 and 897,004.13 is: 1,227,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,431.75 : 897,004.13 = 897,004.13 : x
  2. Step 2: Convert to fraction form
    655,431.75/897,004.13 = 897,004.13/x
  3. Step 3: Cross multiply
    655,431.75x = 897,004.13 × 897,004.13
  4. Step 4: Simplify right side
    655,431.75x = 804,616,400,267.02
  5. Step 5: Solve for x
    x = 804,616,400,267.02/655,431.75
  6. Step 6: Final answer
    x = 1,227,612.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.