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Finding the Third Proportional to 383,571 and 601,708

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Solution

The third proportional to 383,571 and 601,708 is: 943,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,571 : 601,708 = 601,708 : x
  2. Step 2: Convert to fraction form
    383,571/601,708 = 601,708/x
  3. Step 3: Cross multiply
    383,571x = 601,708 × 601,708
  4. Step 4: Simplify right side
    383,571x = 362,052,517,264
  5. Step 5: Solve for x
    x = 362,052,517,264/383,571
  6. Step 6: Final answer
    x = 943,899.61

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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.