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Finding the Third Proportional to 221,024 and 482,533

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Solution

The third proportional to 221,024 and 482,533 is: 1,053,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,024 : 482,533 = 482,533 : x
  2. Step 2: Convert to fraction form
    221,024/482,533 = 482,533/x
  3. Step 3: Cross multiply
    221,024x = 482,533 × 482,533
  4. Step 4: Simplify right side
    221,024x = 232,838,096,089
  5. Step 5: Solve for x
    x = 232,838,096,089/221,024
  6. Step 6: Final answer
    x = 1,053,451.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.