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Finding the Third Proportional to 221,564 and 484,600

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Solution

The third proportional to 221,564 and 484,600 is: 1,059,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,564 : 484,600 = 484,600 : x
  2. Step 2: Convert to fraction form
    221,564/484,600 = 484,600/x
  3. Step 3: Cross multiply
    221,564x = 484,600 × 484,600
  4. Step 4: Simplify right side
    221,564x = 234,837,160,000
  5. Step 5: Solve for x
    x = 234,837,160,000/221,564
  6. Step 6: Final answer
    x = 1,059,906.66

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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.