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Finding the Third Proportional to 244,632 and 344,494.50

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Solution

The third proportional to 244,632 and 344,494.50 is: 485,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,632 : 344,494.50 = 344,494.50 : x
  2. Step 2: Convert to fraction form
    244,632/344,494.50 = 344,494.50/x
  3. Step 3: Cross multiply
    244,632x = 344,494.50 × 344,494.50
  4. Step 4: Simplify right side
    244,632x = 118,676,460,530.25
  5. Step 5: Solve for x
    x = 118,676,460,530.25/244,632
  6. Step 6: Final answer
    x = 485,122.39

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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.