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Finding the Third Proportional to 403,863.75 and 633,599.25

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Solution

The third proportional to 403,863.75 and 633,599.25 is: 994,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,863.75 : 633,599.25 = 633,599.25 : x
  2. Step 2: Convert to fraction form
    403,863.75/633,599.25 = 633,599.25/x
  3. Step 3: Cross multiply
    403,863.75x = 633,599.25 × 633,599.25
  4. Step 4: Simplify right side
    403,863.75x = 401,448,009,600.56
  5. Step 5: Solve for x
    x = 401,448,009,600.56/403,863.75
  6. Step 6: Final answer
    x = 994,018.43

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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.