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Finding the Third Proportional to 353,143.13 and 754,764.75

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Solution

The third proportional to 353,143.13 and 754,764.75 is: 1,613,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,143.13 : 754,764.75 = 754,764.75 : x
  2. Step 2: Convert to fraction form
    353,143.13/754,764.75 = 754,764.75/x
  3. Step 3: Cross multiply
    353,143.13x = 754,764.75 × 754,764.75
  4. Step 4: Simplify right side
    353,143.13x = 569,669,827,842.56
  5. Step 5: Solve for x
    x = 569,669,827,842.56/353,143.13
  6. Step 6: Final answer
    x = 1,613,141.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.