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Finding the Third Proportional to 244,765.50 and 378,264

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Solution

The third proportional to 244,765.50 and 378,264 is: 584,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,765.50 : 378,264 = 378,264 : x
  2. Step 2: Convert to fraction form
    244,765.50/378,264 = 378,264/x
  3. Step 3: Cross multiply
    244,765.50x = 378,264 × 378,264
  4. Step 4: Simplify right side
    244,765.50x = 143,083,653,696
  5. Step 5: Solve for x
    x = 143,083,653,696/244,765.50
  6. Step 6: Final answer
    x = 584,574.43

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