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Finding the Third Proportional to 306 and 489.75

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Solution

The third proportional to 306 and 489.75 is: 783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 489.75 = 489.75 : x
  2. Step 2: Convert to fraction form
    306/489.75 = 489.75/x
  3. Step 3: Cross multiply
    306x = 489.75 × 489.75
  4. Step 4: Simplify right side
    306x = 239,855.06
  5. Step 5: Solve for x
    x = 239,855.06/306
  6. Step 6: Final answer
    x = 783.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.