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Finding the Third Proportional to 343,433 and 755,377

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Solution

The third proportional to 343,433 and 755,377 is: 1,661,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,433 : 755,377 = 755,377 : x
  2. Step 2: Convert to fraction form
    343,433/755,377 = 755,377/x
  3. Step 3: Cross multiply
    343,433x = 755,377 × 755,377
  4. Step 4: Simplify right side
    343,433x = 570,594,412,129
  5. Step 5: Solve for x
    x = 570,594,412,129/343,433
  6. Step 6: Final answer
    x = 1,661,443.17

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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.