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Finding the Third Proportional to 552,582.75 and 855,847.13

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Solution

The third proportional to 552,582.75 and 855,847.13 is: 1,325,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,582.75 : 855,847.13 = 855,847.13 : x
  2. Step 2: Convert to fraction form
    552,582.75/855,847.13 = 855,847.13/x
  3. Step 3: Cross multiply
    552,582.75x = 855,847.13 × 855,847.13
  4. Step 4: Simplify right side
    552,582.75x = 732,474,301,370.77
  5. Step 5: Solve for x
    x = 732,474,301,370.77/552,582.75
  6. Step 6: Final answer
    x = 1,325,546.81

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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.