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Finding the Third Proportional to 335,708 and 746,008

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Solution

The third proportional to 335,708 and 746,008 is: 1,657,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,708 : 746,008 = 746,008 : x
  2. Step 2: Convert to fraction form
    335,708/746,008 = 746,008/x
  3. Step 3: Cross multiply
    335,708x = 746,008 × 746,008
  4. Step 4: Simplify right side
    335,708x = 556,527,936,064
  5. Step 5: Solve for x
    x = 556,527,936,064/335,708
  6. Step 6: Final answer
    x = 1,657,773.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.