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Finding the Third Proportional to 338,880.38 and 733,551

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Solution

The third proportional to 338,880.38 and 733,551 is: 1,587,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,880.38 : 733,551 = 733,551 : x
  2. Step 2: Convert to fraction form
    338,880.38/733,551 = 733,551/x
  3. Step 3: Cross multiply
    338,880.38x = 733,551 × 733,551
  4. Step 4: Simplify right side
    338,880.38x = 538,097,069,601
  5. Step 5: Solve for x
    x = 538,097,069,601/338,880.38
  6. Step 6: Final answer
    x = 1,587,867.31

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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.