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Finding the Third Proportional to 221,820 and 481,008

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Solution

The third proportional to 221,820 and 481,008 is: 1,043,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,820 : 481,008 = 481,008 : x
  2. Step 2: Convert to fraction form
    221,820/481,008 = 481,008/x
  3. Step 3: Cross multiply
    221,820x = 481,008 × 481,008
  4. Step 4: Simplify right side
    221,820x = 231,368,696,064
  5. Step 5: Solve for x
    x = 231,368,696,064/221,820
  6. Step 6: Final answer
    x = 1,043,047.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.