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Finding the Third Proportional to 403,868 and 633,604

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Solution

The third proportional to 403,868 and 633,604 is: 994,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,868 : 633,604 = 633,604 : x
  2. Step 2: Convert to fraction form
    403,868/633,604 = 633,604/x
  3. Step 3: Cross multiply
    403,868x = 633,604 × 633,604
  4. Step 4: Simplify right side
    403,868x = 401,454,028,816
  5. Step 5: Solve for x
    x = 401,454,028,816/403,868
  6. Step 6: Final answer
    x = 994,022.87

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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.