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Finding the Third Proportional to 244,624 and 344,485

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Solution

The third proportional to 244,624 and 344,485 is: 485,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,624 : 344,485 = 344,485 : x
  2. Step 2: Convert to fraction form
    244,624/344,485 = 344,485/x
  3. Step 3: Cross multiply
    244,624x = 344,485 × 344,485
  4. Step 4: Simplify right side
    244,624x = 118,669,915,225
  5. Step 5: Solve for x
    x = 118,669,915,225/244,624
  6. Step 6: Final answer
    x = 485,111.50

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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.