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Finding the Third Proportional to 227,781 and 455,292

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Solution

The third proportional to 227,781 and 455,292 is: 910,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,781 : 455,292 = 455,292 : x
  2. Step 2: Convert to fraction form
    227,781/455,292 = 455,292/x
  3. Step 3: Cross multiply
    227,781x = 455,292 × 455,292
  4. Step 4: Simplify right side
    227,781x = 207,290,805,264
  5. Step 5: Solve for x
    x = 207,290,805,264/227,781
  6. Step 6: Final answer
    x = 910,044.32

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.