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Finding the Third Proportional to 244,498 and 374,012

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Solution

The third proportional to 244,498 and 374,012 is: 572,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,498 : 374,012 = 374,012 : x
  2. Step 2: Convert to fraction form
    244,498/374,012 = 374,012/x
  3. Step 3: Cross multiply
    244,498x = 374,012 × 374,012
  4. Step 4: Simplify right side
    244,498x = 139,884,976,144
  5. Step 5: Solve for x
    x = 139,884,976,144/244,498
  6. Step 6: Final answer
    x = 572,131.37

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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.