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Finding the Third Proportional to 555,765 and 861,105

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Solution

The third proportional to 555,765 and 861,105 is: 1,334,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,765 : 861,105 = 861,105 : x
  2. Step 2: Convert to fraction form
    555,765/861,105 = 861,105/x
  3. Step 3: Cross multiply
    555,765x = 861,105 × 861,105
  4. Step 4: Simplify right side
    555,765x = 741,501,821,025
  5. Step 5: Solve for x
    x = 741,501,821,025/555,765
  6. Step 6: Final answer
    x = 1,334,200.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.