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Finding the Third Proportional to 339,168 and 736,656

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Solution

The third proportional to 339,168 and 736,656 is: 1,599,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,168 : 736,656 = 736,656 : x
  2. Step 2: Convert to fraction form
    339,168/736,656 = 736,656/x
  3. Step 3: Cross multiply
    339,168x = 736,656 × 736,656
  4. Step 4: Simplify right side
    339,168x = 542,662,062,336
  5. Step 5: Solve for x
    x = 542,662,062,336/339,168
  6. Step 6: Final answer
    x = 1,599,980.13

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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.