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Finding the Third Proportional to 205,058 and 424,228

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Solution

The third proportional to 205,058 and 424,228 is: 877,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,058 : 424,228 = 424,228 : x
  2. Step 2: Convert to fraction form
    205,058/424,228 = 424,228/x
  3. Step 3: Cross multiply
    205,058x = 424,228 × 424,228
  4. Step 4: Simplify right side
    205,058x = 179,969,395,984
  5. Step 5: Solve for x
    x = 179,969,395,984/205,058
  6. Step 6: Final answer
    x = 877,651.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.