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Finding the Third Proportional to 313,908 and 442,244

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Solution

The third proportional to 313,908 and 442,244 is: 623,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,908 : 442,244 = 442,244 : x
  2. Step 2: Convert to fraction form
    313,908/442,244 = 442,244/x
  3. Step 3: Cross multiply
    313,908x = 442,244 × 442,244
  4. Step 4: Simplify right side
    313,908x = 195,579,755,536
  5. Step 5: Solve for x
    x = 195,579,755,536/313,908
  6. Step 6: Final answer
    x = 623,048.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.