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Finding the Third Proportional to 403,885.50 and 633,630

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Solution

The third proportional to 403,885.50 and 633,630 is: 994,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,885.50 : 633,630 = 633,630 : x
  2. Step 2: Convert to fraction form
    403,885.50/633,630 = 633,630/x
  3. Step 3: Cross multiply
    403,885.50x = 633,630 × 633,630
  4. Step 4: Simplify right side
    403,885.50x = 401,486,976,900
  5. Step 5: Solve for x
    x = 401,486,976,900/403,885.50
  6. Step 6: Final answer
    x = 994,061.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.