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Finding the Third Proportional to 493,616.53 and 758,380.22

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Solution

The third proportional to 493,616.53 and 758,380.22 is: 1,165,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,616.53 : 758,380.22 = 758,380.22 : x
  2. Step 2: Convert to fraction form
    493,616.53/758,380.22 = 758,380.22/x
  3. Step 3: Cross multiply
    493,616.53x = 758,380.22 × 758,380.22
  4. Step 4: Simplify right side
    493,616.53x = 575,140,556,191.30
  5. Step 5: Solve for x
    x = 575,140,556,191.30/493,616.53
  6. Step 6: Final answer
    x = 1,165,156.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.