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Finding the Third Proportional to 563,309.44 and 864,649.69

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Solution

The third proportional to 563,309.44 and 864,649.69 is: 1,327,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,309.44 : 864,649.69 = 864,649.69 : x
  2. Step 2: Convert to fraction form
    563,309.44/864,649.69 = 864,649.69/x
  3. Step 3: Cross multiply
    563,309.44x = 864,649.69 × 864,649.69
  4. Step 4: Simplify right side
    563,309.44x = 747,619,082,093.85
  5. Step 5: Solve for x
    x = 747,619,082,093.85/563,309.44
  6. Step 6: Final answer
    x = 1,327,190.76

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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.