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Finding the Third Proportional to 377,892 and 579,852

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Solution

The third proportional to 377,892 and 579,852 is: 889,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,892 : 579,852 = 579,852 : x
  2. Step 2: Convert to fraction form
    377,892/579,852 = 579,852/x
  3. Step 3: Cross multiply
    377,892x = 579,852 × 579,852
  4. Step 4: Simplify right side
    377,892x = 336,228,341,904
  5. Step 5: Solve for x
    x = 336,228,341,904/377,892
  6. Step 6: Final answer
    x = 889,747.18

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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.