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Finding the Third Proportional to 221,570 and 472,663

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Solution

The third proportional to 221,570 and 472,663 is: 1,008,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,570 : 472,663 = 472,663 : x
  2. Step 2: Convert to fraction form
    221,570/472,663 = 472,663/x
  3. Step 3: Cross multiply
    221,570x = 472,663 × 472,663
  4. Step 4: Simplify right side
    221,570x = 223,410,311,569
  5. Step 5: Solve for x
    x = 223,410,311,569/221,570
  6. Step 6: Final answer
    x = 1,008,305.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.