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Finding the Third Proportional to 343,710.84 and 755,127.56

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Solution

The third proportional to 343,710.84 and 755,127.56 is: 1,659,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,710.84 : 755,127.56 = 755,127.56 : x
  2. Step 2: Convert to fraction form
    343,710.84/755,127.56 = 755,127.56/x
  3. Step 3: Cross multiply
    343,710.84x = 755,127.56 × 755,127.56
  4. Step 4: Simplify right side
    343,710.84x = 570,217,635,647.19
  5. Step 5: Solve for x
    x = 570,217,635,647.19/343,710.84
  6. Step 6: Final answer
    x = 1,659,003.92

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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.