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Finding the Third Proportional to 244,710 and 344,610

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Solution

The third proportional to 244,710 and 344,610 is: 485,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,710 : 344,610 = 344,610 : x
  2. Step 2: Convert to fraction form
    244,710/344,610 = 344,610/x
  3. Step 3: Cross multiply
    244,710x = 344,610 × 344,610
  4. Step 4: Simplify right side
    244,710x = 118,756,052,100
  5. Step 5: Solve for x
    x = 118,756,052,100/244,710
  6. Step 6: Final answer
    x = 485,293.01

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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.