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Finding the Third Proportional to 322,410.38 and 692,367.75

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Solution

The third proportional to 322,410.38 and 692,367.75 is: 1,486,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,410.38 : 692,367.75 = 692,367.75 : x
  2. Step 2: Convert to fraction form
    322,410.38/692,367.75 = 692,367.75/x
  3. Step 3: Cross multiply
    322,410.38x = 692,367.75 × 692,367.75
  4. Step 4: Simplify right side
    322,410.38x = 479,373,101,240.06
  5. Step 5: Solve for x
    x = 479,373,101,240.06/322,410.38
  6. Step 6: Final answer
    x = 1,486,841.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.