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Finding the Third Proportional to 221,569.88 and 483,241.50

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Solution

The third proportional to 221,569.88 and 483,241.50 is: 1,053,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,569.88 : 483,241.50 = 483,241.50 : x
  2. Step 2: Convert to fraction form
    221,569.88/483,241.50 = 483,241.50/x
  3. Step 3: Cross multiply
    221,569.88x = 483,241.50 × 483,241.50
  4. Step 4: Simplify right side
    221,569.88x = 233,522,347,322.25
  5. Step 5: Solve for x
    x = 233,522,347,322.25/221,569.88
  6. Step 6: Final answer
    x = 1,053,944.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.