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Finding the Third Proportional to 344,216 and 741,166

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Solution

The third proportional to 344,216 and 741,166 is: 1,595,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,216 : 741,166 = 741,166 : x
  2. Step 2: Convert to fraction form
    344,216/741,166 = 741,166/x
  3. Step 3: Cross multiply
    344,216x = 741,166 × 741,166
  4. Step 4: Simplify right side
    344,216x = 549,327,039,556
  5. Step 5: Solve for x
    x = 549,327,039,556/344,216
  6. Step 6: Final answer
    x = 1,595,878.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.