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Finding the Third Proportional to 244,773 and 378,229.50

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Solution

The third proportional to 244,773 and 378,229.50 is: 584,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,773 : 378,229.50 = 378,229.50 : x
  2. Step 2: Convert to fraction form
    244,773/378,229.50 = 378,229.50/x
  3. Step 3: Cross multiply
    244,773x = 378,229.50 × 378,229.50
  4. Step 4: Simplify right side
    244,773x = 143,057,554,670.25
  5. Step 5: Solve for x
    x = 143,057,554,670.25/244,773
  6. Step 6: Final answer
    x = 584,449.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.