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Finding the Third Proportional to 223,562 and 487,273

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Solution

The third proportional to 223,562 and 487,273 is: 1,062,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,562 : 487,273 = 487,273 : x
  2. Step 2: Convert to fraction form
    223,562/487,273 = 487,273/x
  3. Step 3: Cross multiply
    223,562x = 487,273 × 487,273
  4. Step 4: Simplify right side
    223,562x = 237,434,976,529
  5. Step 5: Solve for x
    x = 237,434,976,529/223,562
  6. Step 6: Final answer
    x = 1,062,054.27

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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.