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Finding the Third Proportional to 225,550 and 489,976

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Solution

The third proportional to 225,550 and 489,976 is: 1,064,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,550 : 489,976 = 489,976 : x
  2. Step 2: Convert to fraction form
    225,550/489,976 = 489,976/x
  3. Step 3: Cross multiply
    225,550x = 489,976 × 489,976
  4. Step 4: Simplify right side
    225,550x = 240,076,480,576
  5. Step 5: Solve for x
    x = 240,076,480,576/225,550
  6. Step 6: Final answer
    x = 1,064,404.70

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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.