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Finding the Third Proportional to 250,986 and 489,362

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Solution

The third proportional to 250,986 and 489,362 is: 954,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,986 : 489,362 = 489,362 : x
  2. Step 2: Convert to fraction form
    250,986/489,362 = 489,362/x
  3. Step 3: Cross multiply
    250,986x = 489,362 × 489,362
  4. Step 4: Simplify right side
    250,986x = 239,475,167,044
  5. Step 5: Solve for x
    x = 239,475,167,044/250,986
  6. Step 6: Final answer
    x = 954,137.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.