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Finding the Third Proportional to 244,906 and 374,655

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Solution

The third proportional to 244,906 and 374,655 is: 573,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,906 : 374,655 = 374,655 : x
  2. Step 2: Convert to fraction form
    244,906/374,655 = 374,655/x
  3. Step 3: Cross multiply
    244,906x = 374,655 × 374,655
  4. Step 4: Simplify right side
    244,906x = 140,366,369,025
  5. Step 5: Solve for x
    x = 140,366,369,025/244,906
  6. Step 6: Final answer
    x = 573,143.86

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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.