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Finding the Third Proportional to 403,986 and 850,578

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Solution

The third proportional to 403,986 and 850,578 is: 1,790,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,986 : 850,578 = 850,578 : x
  2. Step 2: Convert to fraction form
    403,986/850,578 = 850,578/x
  3. Step 3: Cross multiply
    403,986x = 850,578 × 850,578
  4. Step 4: Simplify right side
    403,986x = 723,482,934,084
  5. Step 5: Solve for x
    x = 723,482,934,084/403,986
  6. Step 6: Final answer
    x = 1,790,861.40

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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.