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Finding the Third Proportional to 340,420 and 795,142

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Solution

The third proportional to 340,420 and 795,142 is: 1,857,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,420 : 795,142 = 795,142 : x
  2. Step 2: Convert to fraction form
    340,420/795,142 = 795,142/x
  3. Step 3: Cross multiply
    340,420x = 795,142 × 795,142
  4. Step 4: Simplify right side
    340,420x = 632,250,800,164
  5. Step 5: Solve for x
    x = 632,250,800,164/340,420
  6. Step 6: Final answer
    x = 1,857,266.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.