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Finding the Third Proportional to 343,295 and 751,986

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Solution

The third proportional to 343,295 and 751,986 is: 1,647,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,295 : 751,986 = 751,986 : x
  2. Step 2: Convert to fraction form
    343,295/751,986 = 751,986/x
  3. Step 3: Cross multiply
    343,295x = 751,986 × 751,986
  4. Step 4: Simplify right side
    343,295x = 565,482,944,196
  5. Step 5: Solve for x
    x = 565,482,944,196/343,295
  6. Step 6: Final answer
    x = 1,647,221.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.