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Finding the Third Proportional to 221,186.95 and 483,769.34

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Solution

The third proportional to 221,186.95 and 483,769.34 is: 1,058,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,186.95 : 483,769.34 = 483,769.34 : x
  2. Step 2: Convert to fraction form
    221,186.95/483,769.34 = 483,769.34/x
  3. Step 3: Cross multiply
    221,186.95x = 483,769.34 × 483,769.34
  4. Step 4: Simplify right side
    221,186.95x = 234,032,770,393.41
  5. Step 5: Solve for x
    x = 234,032,770,393.41/221,186.95
  6. Step 6: Final answer
    x = 1,058,076.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.