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Finding the Third Proportional to 403,863.50 and 633,598

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Solution

The third proportional to 403,863.50 and 633,598 is: 994,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,863.50 : 633,598 = 633,598 : x
  2. Step 2: Convert to fraction form
    403,863.50/633,598 = 633,598/x
  3. Step 3: Cross multiply
    403,863.50x = 633,598 × 633,598
  4. Step 4: Simplify right side
    403,863.50x = 401,446,425,604
  5. Step 5: Solve for x
    x = 401,446,425,604/403,863.50
  6. Step 6: Final answer
    x = 994,015.12

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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.