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Finding the Third Proportional to 344,412 and 741,600

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Solution

The third proportional to 344,412 and 741,600 is: 1,596,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,412 : 741,600 = 741,600 : x
  2. Step 2: Convert to fraction form
    344,412/741,600 = 741,600/x
  3. Step 3: Cross multiply
    344,412x = 741,600 × 741,600
  4. Step 4: Simplify right side
    344,412x = 549,970,560,000
  5. Step 5: Solve for x
    x = 549,970,560,000/344,412
  6. Step 6: Final answer
    x = 1,596,839.13

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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.