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Finding the Third Proportional to 403,824.25 and 633,568.25

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Solution

The third proportional to 403,824.25 and 633,568.25 is: 994,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,824.25 : 633,568.25 = 633,568.25 : x
  2. Step 2: Convert to fraction form
    403,824.25/633,568.25 = 633,568.25/x
  3. Step 3: Cross multiply
    403,824.25x = 633,568.25 × 633,568.25
  4. Step 4: Simplify right side
    403,824.25x = 401,408,727,408.06
  5. Step 5: Solve for x
    x = 401,408,727,408.06/403,824.25
  6. Step 6: Final answer
    x = 994,018.38

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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.