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Finding the Third Proportional to 403,862 and 633,577

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Solution

The third proportional to 403,862 and 633,577 is: 993,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,862 : 633,577 = 633,577 : x
  2. Step 2: Convert to fraction form
    403,862/633,577 = 633,577/x
  3. Step 3: Cross multiply
    403,862x = 633,577 × 633,577
  4. Step 4: Simplify right side
    403,862x = 401,419,814,929
  5. Step 5: Solve for x
    x = 401,419,814,929/403,862
  6. Step 6: Final answer
    x = 993,952.92

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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.