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Finding the Third Proportional to 221,909.63 and 485,336.81

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Solution

The third proportional to 221,909.63 and 485,336.81 is: 1,061,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,909.63 : 485,336.81 = 485,336.81 : x
  2. Step 2: Convert to fraction form
    221,909.63/485,336.81 = 485,336.81/x
  3. Step 3: Cross multiply
    221,909.63x = 485,336.81 × 485,336.81
  4. Step 4: Simplify right side
    221,909.63x = 235,551,821,567.66
  5. Step 5: Solve for x
    x = 235,551,821,567.66/221,909.63
  6. Step 6: Final answer
    x = 1,061,476.36

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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.