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Finding the Third Proportional to 311,941.13 and 465,832.69

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Solution

The third proportional to 311,941.13 and 465,832.69 is: 695,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.13 : 465,832.69 = 465,832.69 : x
  2. Step 2: Convert to fraction form
    311,941.13/465,832.69 = 465,832.69/x
  3. Step 3: Cross multiply
    311,941.13x = 465,832.69 × 465,832.69
  4. Step 4: Simplify right side
    311,941.13x = 217,000,092,743.47
  5. Step 5: Solve for x
    x = 217,000,092,743.47/311,941.13
  6. Step 6: Final answer
    x = 695,644.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.