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Finding the Third Proportional to 403,892 and 633,639

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Solution

The third proportional to 403,892 and 633,639 is: 994,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,892 : 633,639 = 633,639 : x
  2. Step 2: Convert to fraction form
    403,892/633,639 = 633,639/x
  3. Step 3: Cross multiply
    403,892x = 633,639 × 633,639
  4. Step 4: Simplify right side
    403,892x = 401,498,382,321
  5. Step 5: Solve for x
    x = 401,498,382,321/403,892
  6. Step 6: Final answer
    x = 994,073.62

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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.