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Finding the Third Proportional to 335,194 and 729,351

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Solution

The third proportional to 335,194 and 729,351 is: 1,587,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,194 : 729,351 = 729,351 : x
  2. Step 2: Convert to fraction form
    335,194/729,351 = 729,351/x
  3. Step 3: Cross multiply
    335,194x = 729,351 × 729,351
  4. Step 4: Simplify right side
    335,194x = 531,952,881,201
  5. Step 5: Solve for x
    x = 531,952,881,201/335,194
  6. Step 6: Final answer
    x = 1,587,000.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.