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Finding the Third Proportional to 383,630 and 601,791

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Solution

The third proportional to 383,630 and 601,791 is: 944,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,630 : 601,791 = 601,791 : x
  2. Step 2: Convert to fraction form
    383,630/601,791 = 601,791/x
  3. Step 3: Cross multiply
    383,630x = 601,791 × 601,791
  4. Step 4: Simplify right side
    383,630x = 362,152,407,681
  5. Step 5: Solve for x
    x = 362,152,407,681/383,630
  6. Step 6: Final answer
    x = 944,014.83

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