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Finding the Third Proportional to 352,736 and 740,416

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Solution

The third proportional to 352,736 and 740,416 is: 1,554,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,736 : 740,416 = 740,416 : x
  2. Step 2: Convert to fraction form
    352,736/740,416 = 740,416/x
  3. Step 3: Cross multiply
    352,736x = 740,416 × 740,416
  4. Step 4: Simplify right side
    352,736x = 548,215,853,056
  5. Step 5: Solve for x
    x = 548,215,853,056/352,736
  6. Step 6: Final answer
    x = 1,554,181.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.