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Finding the Third Proportional to 344,100.75 and 758,184.75

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Solution

The third proportional to 344,100.75 and 758,184.75 is: 1,670,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,100.75 : 758,184.75 = 758,184.75 : x
  2. Step 2: Convert to fraction form
    344,100.75/758,184.75 = 758,184.75/x
  3. Step 3: Cross multiply
    344,100.75x = 758,184.75 × 758,184.75
  4. Step 4: Simplify right side
    344,100.75x = 574,844,115,132.56
  5. Step 5: Solve for x
    x = 574,844,115,132.56/344,100.75
  6. Step 6: Final answer
    x = 1,670,569.20

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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.