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Finding the Third Proportional to 347,924 and 741,412

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Solution

The third proportional to 347,924 and 741,412 is: 1,579,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,924 : 741,412 = 741,412 : x
  2. Step 2: Convert to fraction form
    347,924/741,412 = 741,412/x
  3. Step 3: Cross multiply
    347,924x = 741,412 × 741,412
  4. Step 4: Simplify right side
    347,924x = 549,691,753,744
  5. Step 5: Solve for x
    x = 549,691,753,744/347,924
  6. Step 6: Final answer
    x = 1,579,919.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.