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Finding the Third Proportional to 244,497 and 374,009

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Solution

The third proportional to 244,497 and 374,009 is: 572,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,497 : 374,009 = 374,009 : x
  2. Step 2: Convert to fraction form
    244,497/374,009 = 374,009/x
  3. Step 3: Cross multiply
    244,497x = 374,009 × 374,009
  4. Step 4: Simplify right side
    244,497x = 139,882,732,081
  5. Step 5: Solve for x
    x = 139,882,732,081/244,497
  6. Step 6: Final answer
    x = 572,124.53

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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.