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Finding the Third Proportional to 339,196 and 737,348

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Solution

The third proportional to 339,196 and 737,348 is: 1,602,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,196 : 737,348 = 737,348 : x
  2. Step 2: Convert to fraction form
    339,196/737,348 = 737,348/x
  3. Step 3: Cross multiply
    339,196x = 737,348 × 737,348
  4. Step 4: Simplify right side
    339,196x = 543,682,073,104
  5. Step 5: Solve for x
    x = 543,682,073,104/339,196
  6. Step 6: Final answer
    x = 1,602,855.20

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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.