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Finding the Third Proportional to 348,736 and 755,248

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Solution

The third proportional to 348,736 and 755,248 is: 1,635,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,736 : 755,248 = 755,248 : x
  2. Step 2: Convert to fraction form
    348,736/755,248 = 755,248/x
  3. Step 3: Cross multiply
    348,736x = 755,248 × 755,248
  4. Step 4: Simplify right side
    348,736x = 570,399,541,504
  5. Step 5: Solve for x
    x = 570,399,541,504/348,736
  6. Step 6: Final answer
    x = 1,635,619.90

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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.