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Finding the Third Proportional to 403,824 and 633,568.50

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Solution

The third proportional to 403,824 and 633,568.50 is: 994,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,824 : 633,568.50 = 633,568.50 : x
  2. Step 2: Convert to fraction form
    403,824/633,568.50 = 633,568.50/x
  3. Step 3: Cross multiply
    403,824x = 633,568.50 × 633,568.50
  4. Step 4: Simplify right side
    403,824x = 401,409,044,192.25
  5. Step 5: Solve for x
    x = 401,409,044,192.25/403,824
  6. Step 6: Final answer
    x = 994,019.78

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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.