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Finding the Third Proportional to 221,712 and 484,832

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Solution

The third proportional to 221,712 and 484,832 is: 1,060,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,712 : 484,832 = 484,832 : x
  2. Step 2: Convert to fraction form
    221,712/484,832 = 484,832/x
  3. Step 3: Cross multiply
    221,712x = 484,832 × 484,832
  4. Step 4: Simplify right side
    221,712x = 235,062,068,224
  5. Step 5: Solve for x
    x = 235,062,068,224/221,712
  6. Step 6: Final answer
    x = 1,060,213.56

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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.