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Finding the Third Proportional to 343,707 and 755,119

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Solution

The third proportional to 343,707 and 755,119 is: 1,658,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,707 : 755,119 = 755,119 : x
  2. Step 2: Convert to fraction form
    343,707/755,119 = 755,119/x
  3. Step 3: Cross multiply
    343,707x = 755,119 × 755,119
  4. Step 4: Simplify right side
    343,707x = 570,204,704,161
  5. Step 5: Solve for x
    x = 570,204,704,161/343,707
  6. Step 6: Final answer
    x = 1,658,984.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.