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Finding the Third Proportional to 338,342 and 734,986

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Solution

The third proportional to 338,342 and 734,986 is: 1,596,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,342 : 734,986 = 734,986 : x
  2. Step 2: Convert to fraction form
    338,342/734,986 = 734,986/x
  3. Step 3: Cross multiply
    338,342x = 734,986 × 734,986
  4. Step 4: Simplify right side
    338,342x = 540,204,420,196
  5. Step 5: Solve for x
    x = 540,204,420,196/338,342
  6. Step 6: Final answer
    x = 1,596,622.41

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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.