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Finding the Third Proportional to 338,904 and 733,592

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Solution

The third proportional to 338,904 and 733,592 is: 1,587,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,904 : 733,592 = 733,592 : x
  2. Step 2: Convert to fraction form
    338,904/733,592 = 733,592/x
  3. Step 3: Cross multiply
    338,904x = 733,592 × 733,592
  4. Step 4: Simplify right side
    338,904x = 538,157,222,464
  5. Step 5: Solve for x
    x = 538,157,222,464/338,904
  6. Step 6: Final answer
    x = 1,587,934.11

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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.