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Finding the Third Proportional to 244,663 and 374,771

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Solution

The third proportional to 244,663 and 374,771 is: 574,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,663 : 374,771 = 374,771 : x
  2. Step 2: Convert to fraction form
    244,663/374,771 = 374,771/x
  3. Step 3: Cross multiply
    244,663x = 374,771 × 374,771
  4. Step 4: Simplify right side
    244,663x = 140,453,302,441
  5. Step 5: Solve for x
    x = 140,453,302,441/244,663
  6. Step 6: Final answer
    x = 574,068.42

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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.