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Finding the Third Proportional to 338,941 and 736,904

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Solution

The third proportional to 338,941 and 736,904 is: 1,602,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,941 : 736,904 = 736,904 : x
  2. Step 2: Convert to fraction form
    338,941/736,904 = 736,904/x
  3. Step 3: Cross multiply
    338,941x = 736,904 × 736,904
  4. Step 4: Simplify right side
    338,941x = 543,027,505,216
  5. Step 5: Solve for x
    x = 543,027,505,216/338,941
  6. Step 6: Final answer
    x = 1,602,129.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.