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Finding the Third Proportional to 361,924 and 795,222

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Solution

The third proportional to 361,924 and 795,222 is: 1,747,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,924 : 795,222 = 795,222 : x
  2. Step 2: Convert to fraction form
    361,924/795,222 = 795,222/x
  3. Step 3: Cross multiply
    361,924x = 795,222 × 795,222
  4. Step 4: Simplify right side
    361,924x = 632,378,029,284
  5. Step 5: Solve for x
    x = 632,378,029,284/361,924
  6. Step 6: Final answer
    x = 1,747,267.46

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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.