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Finding the Third Proportional to 611,906.75 and 860,178.13

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Solution

The third proportional to 611,906.75 and 860,178.13 is: 1,209,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,906.75 : 860,178.13 = 860,178.13 : x
  2. Step 2: Convert to fraction form
    611,906.75/860,178.13 = 860,178.13/x
  3. Step 3: Cross multiply
    611,906.75x = 860,178.13 × 860,178.13
  4. Step 4: Simplify right side
    611,906.75x = 739,906,406,728.52
  5. Step 5: Solve for x
    x = 739,906,406,728.52/611,906.75
  6. Step 6: Final answer
    x = 1,209,181.64

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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.