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Finding the Third Proportional to 344,142 and 741,015

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Solution

The third proportional to 344,142 and 741,015 is: 1,595,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,142 : 741,015 = 741,015 : x
  2. Step 2: Convert to fraction form
    344,142/741,015 = 741,015/x
  3. Step 3: Cross multiply
    344,142x = 741,015 × 741,015
  4. Step 4: Simplify right side
    344,142x = 549,103,230,225
  5. Step 5: Solve for x
    x = 549,103,230,225/344,142
  6. Step 6: Final answer
    x = 1,595,571.68

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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.