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Finding the Third Proportional to 344,097.75 and 758,179.13

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Solution

The third proportional to 344,097.75 and 758,179.13 is: 1,670,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,097.75 : 758,179.13 = 758,179.13 : x
  2. Step 2: Convert to fraction form
    344,097.75/758,179.13 = 758,179.13/x
  3. Step 3: Cross multiply
    344,097.75x = 758,179.13 × 758,179.13
  4. Step 4: Simplify right side
    344,097.75x = 574,835,585,585.77
  5. Step 5: Solve for x
    x = 574,835,585,585.77/344,097.75
  6. Step 6: Final answer
    x = 1,670,558.98

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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.