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Finding the Third Proportional to 214,849.97 and 472,585.64

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Solution

The third proportional to 214,849.97 and 472,585.64 is: 1,039,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,849.97 : 472,585.64 = 472,585.64 : x
  2. Step 2: Convert to fraction form
    214,849.97/472,585.64 = 472,585.64/x
  3. Step 3: Cross multiply
    214,849.97x = 472,585.64 × 472,585.64
  4. Step 4: Simplify right side
    214,849.97x = 223,337,187,724.94
  5. Step 5: Solve for x
    x = 223,337,187,724.94/214,849.97
  6. Step 6: Final answer
    x = 1,039,503.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.