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Finding the Third Proportional to 250,984 and 489,359

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Solution

The third proportional to 250,984 and 489,359 is: 954,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,984 : 489,359 = 489,359 : x
  2. Step 2: Convert to fraction form
    250,984/489,359 = 489,359/x
  3. Step 3: Cross multiply
    250,984x = 489,359 × 489,359
  4. Step 4: Simplify right side
    250,984x = 239,472,230,881
  5. Step 5: Solve for x
    x = 239,472,230,881/250,984
  6. Step 6: Final answer
    x = 954,133.45

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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.