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Finding the Third Proportional to 335,966 and 730,980

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Solution

The third proportional to 335,966 and 730,980 is: 1,590,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,966 : 730,980 = 730,980 : x
  2. Step 2: Convert to fraction form
    335,966/730,980 = 730,980/x
  3. Step 3: Cross multiply
    335,966x = 730,980 × 730,980
  4. Step 4: Simplify right side
    335,966x = 534,331,760,400
  5. Step 5: Solve for x
    x = 534,331,760,400/335,966
  6. Step 6: Final answer
    x = 1,590,434.03

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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.