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Finding the Third Proportional to 383,677 and 600,563

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Solution

The third proportional to 383,677 and 600,563 is: 940,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,677 : 600,563 = 600,563 : x
  2. Step 2: Convert to fraction form
    383,677/600,563 = 600,563/x
  3. Step 3: Cross multiply
    383,677x = 600,563 × 600,563
  4. Step 4: Simplify right side
    383,677x = 360,675,916,969
  5. Step 5: Solve for x
    x = 360,675,916,969/383,677
  6. Step 6: Final answer
    x = 940,050.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.