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Finding the Third Proportional to 344,212 and 741,158

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Solution

The third proportional to 344,212 and 741,158 is: 1,595,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,212 : 741,158 = 741,158 : x
  2. Step 2: Convert to fraction form
    344,212/741,158 = 741,158/x
  3. Step 3: Cross multiply
    344,212x = 741,158 × 741,158
  4. Step 4: Simplify right side
    344,212x = 549,315,180,964
  5. Step 5: Solve for x
    x = 549,315,180,964/344,212
  6. Step 6: Final answer
    x = 1,595,862.96

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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.