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Finding the Third Proportional to 244,764 and 378,263

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Solution

The third proportional to 244,764 and 378,263 is: 584,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,764 : 378,263 = 378,263 : x
  2. Step 2: Convert to fraction form
    244,764/378,263 = 378,263/x
  3. Step 3: Cross multiply
    244,764x = 378,263 × 378,263
  4. Step 4: Simplify right side
    244,764x = 143,082,897,169
  5. Step 5: Solve for x
    x = 143,082,897,169/244,764
  6. Step 6: Final answer
    x = 584,574.93

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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.