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Finding the Third Proportional to 337,076.44 and 737,122.78

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Solution

The third proportional to 337,076.44 and 737,122.78 is: 1,611,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,076.44 : 737,122.78 = 737,122.78 : x
  2. Step 2: Convert to fraction form
    337,076.44/737,122.78 = 737,122.78/x
  3. Step 3: Cross multiply
    337,076.44x = 737,122.78 × 737,122.78
  4. Step 4: Simplify right side
    337,076.44x = 543,349,994,637.74
  5. Step 5: Solve for x
    x = 543,349,994,637.74/337,076.44
  6. Step 6: Final answer
    x = 1,611,948.91

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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.