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Finding the Third Proportional to 403,881 and 633,622.50

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Solution

The third proportional to 403,881 and 633,622.50 is: 994,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,881 : 633,622.50 = 633,622.50 : x
  2. Step 2: Convert to fraction form
    403,881/633,622.50 = 633,622.50/x
  3. Step 3: Cross multiply
    403,881x = 633,622.50 × 633,622.50
  4. Step 4: Simplify right side
    403,881x = 401,477,472,506.25
  5. Step 5: Solve for x
    x = 401,477,472,506.25/403,881
  6. Step 6: Final answer
    x = 994,048.92

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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.