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Finding the Third Proportional to 338,884.88 and 733,559.63

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Solution

The third proportional to 338,884.88 and 733,559.63 is: 1,587,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,884.88 : 733,559.63 = 733,559.63 : x
  2. Step 2: Convert to fraction form
    338,884.88/733,559.63 = 733,559.63/x
  3. Step 3: Cross multiply
    338,884.88x = 733,559.63 × 733,559.63
  4. Step 4: Simplify right side
    338,884.88x = 538,109,723,430.14
  5. Step 5: Solve for x
    x = 538,109,723,430.14/338,884.88
  6. Step 6: Final answer
    x = 1,587,883.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.