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Finding the Third Proportional to 236,472 and 489,774

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Solution

The third proportional to 236,472 and 489,774 is: 1,014,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,472 : 489,774 = 489,774 : x
  2. Step 2: Convert to fraction form
    236,472/489,774 = 489,774/x
  3. Step 3: Cross multiply
    236,472x = 489,774 × 489,774
  4. Step 4: Simplify right side
    236,472x = 239,878,571,076
  5. Step 5: Solve for x
    x = 239,878,571,076/236,472
  6. Step 6: Final answer
    x = 1,014,405.81

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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.