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Finding the Third Proportional to 335,238 and 732,684

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Solution

The third proportional to 335,238 and 732,684 is: 1,601,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,238 : 732,684 = 732,684 : x
  2. Step 2: Convert to fraction form
    335,238/732,684 = 732,684/x
  3. Step 3: Cross multiply
    335,238x = 732,684 × 732,684
  4. Step 4: Simplify right side
    335,238x = 536,825,843,856
  5. Step 5: Solve for x
    x = 536,825,843,856/335,238
  6. Step 6: Final answer
    x = 1,601,327.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.