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Finding the Third Proportional to 244,914.75 and 378,294.75

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Solution

The third proportional to 244,914.75 and 378,294.75 is: 584,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,914.75 : 378,294.75 = 378,294.75 : x
  2. Step 2: Convert to fraction form
    244,914.75/378,294.75 = 378,294.75/x
  3. Step 3: Cross multiply
    244,914.75x = 378,294.75 × 378,294.75
  4. Step 4: Simplify right side
    244,914.75x = 143,106,917,877.56
  5. Step 5: Solve for x
    x = 143,106,917,877.56/244,914.75
  6. Step 6: Final answer
    x = 584,313.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.