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Finding the Third Proportional to 221,037.75 and 482,553

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Solution

The third proportional to 221,037.75 and 482,553 is: 1,053,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,037.75 : 482,553 = 482,553 : x
  2. Step 2: Convert to fraction form
    221,037.75/482,553 = 482,553/x
  3. Step 3: Cross multiply
    221,037.75x = 482,553 × 482,553
  4. Step 4: Simplify right side
    221,037.75x = 232,857,397,809
  5. Step 5: Solve for x
    x = 232,857,397,809/221,037.75
  6. Step 6: Final answer
    x = 1,053,473.44

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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.