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Finding the Third Proportional to 342,721.13 and 751,902.75

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Solution

The third proportional to 342,721.13 and 751,902.75 is: 1,649,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,721.13 : 751,902.75 = 751,902.75 : x
  2. Step 2: Convert to fraction form
    342,721.13/751,902.75 = 751,902.75/x
  3. Step 3: Cross multiply
    342,721.13x = 751,902.75 × 751,902.75
  4. Step 4: Simplify right side
    342,721.13x = 565,357,745,457.56
  5. Step 5: Solve for x
    x = 565,357,745,457.56/342,721.13
  6. Step 6: Final answer
    x = 1,649,614.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.