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Finding the Third Proportional to 348,042 and 737,268

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Solution

The third proportional to 348,042 and 737,268 is: 1,561,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,042 : 737,268 = 737,268 : x
  2. Step 2: Convert to fraction form
    348,042/737,268 = 737,268/x
  3. Step 3: Cross multiply
    348,042x = 737,268 × 737,268
  4. Step 4: Simplify right side
    348,042x = 543,564,103,824
  5. Step 5: Solve for x
    x = 543,564,103,824/348,042
  6. Step 6: Final answer
    x = 1,561,777.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.