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Finding the Third Proportional to 569,760.75 and 869,111.02

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Solution

The third proportional to 569,760.75 and 869,111.02 is: 1,325,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,760.75 : 869,111.02 = 869,111.02 : x
  2. Step 2: Convert to fraction form
    569,760.75/869,111.02 = 869,111.02/x
  3. Step 3: Cross multiply
    569,760.75x = 869,111.02 × 869,111.02
  4. Step 4: Simplify right side
    569,760.75x = 755,353,957,480.72
  5. Step 5: Solve for x
    x = 755,353,957,480.72/569,760.75
  6. Step 6: Final answer
    x = 1,325,738.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.