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Finding the Third Proportional to 340,226 and 794,669

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Solution

The third proportional to 340,226 and 794,669 is: 1,856,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,226 : 794,669 = 794,669 : x
  2. Step 2: Convert to fraction form
    340,226/794,669 = 794,669/x
  3. Step 3: Cross multiply
    340,226x = 794,669 × 794,669
  4. Step 4: Simplify right side
    340,226x = 631,498,819,561
  5. Step 5: Solve for x
    x = 631,498,819,561/340,226
  6. Step 6: Final answer
    x = 1,856,115.70

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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.