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Finding the Third Proportional to 225,274 and 487,726

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Solution

The third proportional to 225,274 and 487,726 is: 1,055,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,274 : 487,726 = 487,726 : x
  2. Step 2: Convert to fraction form
    225,274/487,726 = 487,726/x
  3. Step 3: Cross multiply
    225,274x = 487,726 × 487,726
  4. Step 4: Simplify right side
    225,274x = 237,876,651,076
  5. Step 5: Solve for x
    x = 237,876,651,076/225,274
  6. Step 6: Final answer
    x = 1,055,943.66

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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.