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Finding the Third Proportional to 335,682 and 729,798

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Solution

The third proportional to 335,682 and 729,798 is: 1,586,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,682 : 729,798 = 729,798 : x
  2. Step 2: Convert to fraction form
    335,682/729,798 = 729,798/x
  3. Step 3: Cross multiply
    335,682x = 729,798 × 729,798
  4. Step 4: Simplify right side
    335,682x = 532,605,120,804
  5. Step 5: Solve for x
    x = 532,605,120,804/335,682
  6. Step 6: Final answer
    x = 1,586,635.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.