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Finding the Third Proportional to 225,273 and 487,725

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Solution

The third proportional to 225,273 and 487,725 is: 1,055,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,273 : 487,725 = 487,725 : x
  2. Step 2: Convert to fraction form
    225,273/487,725 = 487,725/x
  3. Step 3: Cross multiply
    225,273x = 487,725 × 487,725
  4. Step 4: Simplify right side
    225,273x = 237,875,675,625
  5. Step 5: Solve for x
    x = 237,875,675,625/225,273
  6. Step 6: Final answer
    x = 1,055,944.01

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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.