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Finding the Third Proportional to 611,950 and 860,238

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Solution

The third proportional to 611,950 and 860,238 is: 1,209,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,950 : 860,238 = 860,238 : x
  2. Step 2: Convert to fraction form
    611,950/860,238 = 860,238/x
  3. Step 3: Cross multiply
    611,950x = 860,238 × 860,238
  4. Step 4: Simplify right side
    611,950x = 740,009,416,644
  5. Step 5: Solve for x
    x = 740,009,416,644/611,950
  6. Step 6: Final answer
    x = 1,209,264.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.