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Finding the Third Proportional to 403,869 and 633,604.50

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Solution

The third proportional to 403,869 and 633,604.50 is: 994,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,869 : 633,604.50 = 633,604.50 : x
  2. Step 2: Convert to fraction form
    403,869/633,604.50 = 633,604.50/x
  3. Step 3: Cross multiply
    403,869x = 633,604.50 × 633,604.50
  4. Step 4: Simplify right side
    403,869x = 401,454,662,420.25
  5. Step 5: Solve for x
    x = 401,454,662,420.25/403,869
  6. Step 6: Final answer
    x = 994,021.98

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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.