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Finding the Third Proportional to 377,638 and 576,319

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Solution

The third proportional to 377,638 and 576,319 is: 879,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,638 : 576,319 = 576,319 : x
  2. Step 2: Convert to fraction form
    377,638/576,319 = 576,319/x
  3. Step 3: Cross multiply
    377,638x = 576,319 × 576,319
  4. Step 4: Simplify right side
    377,638x = 332,143,589,761
  5. Step 5: Solve for x
    x = 332,143,589,761/377,638
  6. Step 6: Final answer
    x = 879,529.05

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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.