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Finding the Third Proportional to 244,944 and 374,706

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Solution

The third proportional to 244,944 and 374,706 is: 573,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,944 : 374,706 = 374,706 : x
  2. Step 2: Convert to fraction form
    244,944/374,706 = 374,706/x
  3. Step 3: Cross multiply
    244,944x = 374,706 × 374,706
  4. Step 4: Simplify right side
    244,944x = 140,404,586,436
  5. Step 5: Solve for x
    x = 140,404,586,436/244,944
  6. Step 6: Final answer
    x = 573,210.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.