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Finding the Third Proportional to 221,114.25 and 483,599.25

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Solution

The third proportional to 221,114.25 and 483,599.25 is: 1,057,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,114.25 : 483,599.25 = 483,599.25 : x
  2. Step 2: Convert to fraction form
    221,114.25/483,599.25 = 483,599.25/x
  3. Step 3: Cross multiply
    221,114.25x = 483,599.25 × 483,599.25
  4. Step 4: Simplify right side
    221,114.25x = 233,868,234,600.56
  5. Step 5: Solve for x
    x = 233,868,234,600.56/221,114.25
  6. Step 6: Final answer
    x = 1,057,680.52

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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.