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Finding the Third Proportional to 407,331 and 569,742.75

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Solution

The third proportional to 407,331 and 569,742.75 is: 796,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,331 : 569,742.75 = 569,742.75 : x
  2. Step 2: Convert to fraction form
    407,331/569,742.75 = 569,742.75/x
  3. Step 3: Cross multiply
    407,331x = 569,742.75 × 569,742.75
  4. Step 4: Simplify right side
    407,331x = 324,606,801,177.56
  5. Step 5: Solve for x
    x = 324,606,801,177.56/407,331
  6. Step 6: Final answer
    x = 796,911.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.