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Finding the Third Proportional to 565,909.03 and 854,182.97

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Solution

The third proportional to 565,909.03 and 854,182.97 is: 1,289,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,909.03 : 854,182.97 = 854,182.97 : x
  2. Step 2: Convert to fraction form
    565,909.03/854,182.97 = 854,182.97/x
  3. Step 3: Cross multiply
    565,909.03x = 854,182.97 × 854,182.97
  4. Step 4: Simplify right side
    565,909.03x = 729,628,544,102.56
  5. Step 5: Solve for x
    x = 729,628,544,102.56/565,909.03
  6. Step 6: Final answer
    x = 1,289,303.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.