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Finding the Third Proportional to 335,832 and 721,344

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Solution

The third proportional to 335,832 and 721,344 is: 1,549,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,832 : 721,344 = 721,344 : x
  2. Step 2: Convert to fraction form
    335,832/721,344 = 721,344/x
  3. Step 3: Cross multiply
    335,832x = 721,344 × 721,344
  4. Step 4: Simplify right side
    335,832x = 520,337,166,336
  5. Step 5: Solve for x
    x = 520,337,166,336/335,832
  6. Step 6: Final answer
    x = 1,549,397.22

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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.