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Finding the Third Proportional to 335,799 and 725,727

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Solution

The third proportional to 335,799 and 725,727 is: 1,568,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,799 : 725,727 = 725,727 : x
  2. Step 2: Convert to fraction form
    335,799/725,727 = 725,727/x
  3. Step 3: Cross multiply
    335,799x = 725,727 × 725,727
  4. Step 4: Simplify right side
    335,799x = 526,679,678,529
  5. Step 5: Solve for x
    x = 526,679,678,529/335,799
  6. Step 6: Final answer
    x = 1,568,437.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.