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Finding the Third Proportional to 403,867 and 633,603

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Solution

The third proportional to 403,867 and 633,603 is: 994,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,867 : 633,603 = 633,603 : x
  2. Step 2: Convert to fraction form
    403,867/633,603 = 633,603/x
  3. Step 3: Cross multiply
    403,867x = 633,603 × 633,603
  4. Step 4: Simplify right side
    403,867x = 401,452,761,609
  5. Step 5: Solve for x
    x = 401,452,761,609/403,867
  6. Step 6: Final answer
    x = 994,022.19

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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.