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Finding the Third Proportional to 403,988 and 850,568

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Solution

The third proportional to 403,988 and 850,568 is: 1,790,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,988 : 850,568 = 850,568 : x
  2. Step 2: Convert to fraction form
    403,988/850,568 = 850,568/x
  3. Step 3: Cross multiply
    403,988x = 850,568 × 850,568
  4. Step 4: Simplify right side
    403,988x = 723,465,922,624
  5. Step 5: Solve for x
    x = 723,465,922,624/403,988
  6. Step 6: Final answer
    x = 1,790,810.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.