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Finding the Third Proportional to 340,830 and 738,086

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Solution

The third proportional to 340,830 and 738,086 is: 1,598,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,830 : 738,086 = 738,086 : x
  2. Step 2: Convert to fraction form
    340,830/738,086 = 738,086/x
  3. Step 3: Cross multiply
    340,830x = 738,086 × 738,086
  4. Step 4: Simplify right side
    340,830x = 544,770,943,396
  5. Step 5: Solve for x
    x = 544,770,943,396/340,830
  6. Step 6: Final answer
    x = 1,598,365.59

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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.