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Finding the Third Proportional to 221,205.94 and 474,670.13

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Solution

The third proportional to 221,205.94 and 474,670.13 is: 1,018,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,205.94 : 474,670.13 = 474,670.13 : x
  2. Step 2: Convert to fraction form
    221,205.94/474,670.13 = 474,670.13/x
  3. Step 3: Cross multiply
    221,205.94x = 474,670.13 × 474,670.13
  4. Step 4: Simplify right side
    221,205.94x = 225,311,727,567.52
  5. Step 5: Solve for x
    x = 225,311,727,567.52/221,205.94
  6. Step 6: Final answer
    x = 1,018,560.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.