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Finding the Third Proportional to 221,535 and 485,956

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Solution

The third proportional to 221,535 and 485,956 is: 1,065,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,535 : 485,956 = 485,956 : x
  2. Step 2: Convert to fraction form
    221,535/485,956 = 485,956/x
  3. Step 3: Cross multiply
    221,535x = 485,956 × 485,956
  4. Step 4: Simplify right side
    221,535x = 236,153,233,936
  5. Step 5: Solve for x
    x = 236,153,233,936/221,535
  6. Step 6: Final answer
    x = 1,065,986.11

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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.