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Finding the Third Proportional to 244,505 and 374,023

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Solution

The third proportional to 244,505 and 374,023 is: 572,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,505 : 374,023 = 374,023 : x
  2. Step 2: Convert to fraction form
    244,505/374,023 = 374,023/x
  3. Step 3: Cross multiply
    244,505x = 374,023 × 374,023
  4. Step 4: Simplify right side
    244,505x = 139,893,204,529
  5. Step 5: Solve for x
    x = 139,893,204,529/244,505
  6. Step 6: Final answer
    x = 572,148.65

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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.