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Finding the Third Proportional to 397,284.75 and 865,507.78

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Solution

The third proportional to 397,284.75 and 865,507.78 is: 1,885,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,284.75 : 865,507.78 = 865,507.78 : x
  2. Step 2: Convert to fraction form
    397,284.75/865,507.78 = 865,507.78/x
  3. Step 3: Cross multiply
    397,284.75x = 865,507.78 × 865,507.78
  4. Step 4: Simplify right side
    397,284.75x = 749,103,719,404.30
  5. Step 5: Solve for x
    x = 749,103,719,404.30/397,284.75
  6. Step 6: Final answer
    x = 1,885,558.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.