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Finding the Third Proportional to 417,291.75 and 869,879.25

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Solution

The third proportional to 417,291.75 and 869,879.25 is: 1,813,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,291.75 : 869,879.25 = 869,879.25 : x
  2. Step 2: Convert to fraction form
    417,291.75/869,879.25 = 869,879.25/x
  3. Step 3: Cross multiply
    417,291.75x = 869,879.25 × 869,879.25
  4. Step 4: Simplify right side
    417,291.75x = 756,689,909,580.56
  5. Step 5: Solve for x
    x = 756,689,909,580.56/417,291.75
  6. Step 6: Final answer
    x = 1,813,335.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.