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Finding the Third Proportional to 361,910 and 795,202

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Solution

The third proportional to 361,910 and 795,202 is: 1,747,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,910 : 795,202 = 795,202 : x
  2. Step 2: Convert to fraction form
    361,910/795,202 = 795,202/x
  3. Step 3: Cross multiply
    361,910x = 795,202 × 795,202
  4. Step 4: Simplify right side
    361,910x = 632,346,220,804
  5. Step 5: Solve for x
    x = 632,346,220,804/361,910
  6. Step 6: Final answer
    x = 1,747,247.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.