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Finding the Third Proportional to 244,894 and 378,426

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Solution

The third proportional to 244,894 and 378,426 is: 584,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,894 : 378,426 = 378,426 : x
  2. Step 2: Convert to fraction form
    244,894/378,426 = 378,426/x
  3. Step 3: Cross multiply
    244,894x = 378,426 × 378,426
  4. Step 4: Simplify right side
    244,894x = 143,206,237,476
  5. Step 5: Solve for x
    x = 143,206,237,476/244,894
  6. Step 6: Final answer
    x = 584,768.26

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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.