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Finding the Third Proportional to 373,185 and 795,156

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Solution

The third proportional to 373,185 and 795,156 is: 1,694,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,185 : 795,156 = 795,156 : x
  2. Step 2: Convert to fraction form
    373,185/795,156 = 795,156/x
  3. Step 3: Cross multiply
    373,185x = 795,156 × 795,156
  4. Step 4: Simplify right side
    373,185x = 632,273,064,336
  5. Step 5: Solve for x
    x = 632,273,064,336/373,185
  6. Step 6: Final answer
    x = 1,694,261.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.