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Finding the Third Proportional to 340,568 and 740,086

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Solution

The third proportional to 340,568 and 740,086 is: 1,608,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,568 : 740,086 = 740,086 : x
  2. Step 2: Convert to fraction form
    340,568/740,086 = 740,086/x
  3. Step 3: Cross multiply
    340,568x = 740,086 × 740,086
  4. Step 4: Simplify right side
    340,568x = 547,727,287,396
  5. Step 5: Solve for x
    x = 547,727,287,396/340,568
  6. Step 6: Final answer
    x = 1,608,275.84

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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.