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Finding the Third Proportional to 403,874 and 633,612

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Solution

The third proportional to 403,874 and 633,612 is: 994,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,874 : 633,612 = 633,612 : x
  2. Step 2: Convert to fraction form
    403,874/633,612 = 633,612/x
  3. Step 3: Cross multiply
    403,874x = 633,612 × 633,612
  4. Step 4: Simplify right side
    403,874x = 401,464,166,544
  5. Step 5: Solve for x
    x = 401,464,166,544/403,874
  6. Step 6: Final answer
    x = 994,033.20

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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.