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Finding the Third Proportional to 338,286 and 743,532

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Solution

The third proportional to 338,286 and 743,532 is: 1,634,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,286 : 743,532 = 743,532 : x
  2. Step 2: Convert to fraction form
    338,286/743,532 = 743,532/x
  3. Step 3: Cross multiply
    338,286x = 743,532 × 743,532
  4. Step 4: Simplify right side
    338,286x = 552,839,835,024
  5. Step 5: Solve for x
    x = 552,839,835,024/338,286
  6. Step 6: Final answer
    x = 1,634,238.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.