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Finding the Third Proportional to 411,783.50 and 889,177

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Solution

The third proportional to 411,783.50 and 889,177 is: 1,920,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,783.50 : 889,177 = 889,177 : x
  2. Step 2: Convert to fraction form
    411,783.50/889,177 = 889,177/x
  3. Step 3: Cross multiply
    411,783.50x = 889,177 × 889,177
  4. Step 4: Simplify right side
    411,783.50x = 790,635,737,329
  5. Step 5: Solve for x
    x = 790,635,737,329/411,783.50
  6. Step 6: Final answer
    x = 1,920,027.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.