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Finding the Third Proportional to 225,230 and 489,663

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Solution

The third proportional to 225,230 and 489,663 is: 1,064,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,230 : 489,663 = 489,663 : x
  2. Step 2: Convert to fraction form
    225,230/489,663 = 489,663/x
  3. Step 3: Cross multiply
    225,230x = 489,663 × 489,663
  4. Step 4: Simplify right side
    225,230x = 239,769,853,569
  5. Step 5: Solve for x
    x = 239,769,853,569/225,230
  6. Step 6: Final answer
    x = 1,064,555.58

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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.