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Finding the Third Proportional to 308,489.50 and 466,015

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Solution

The third proportional to 308,489.50 and 466,015 is: 703,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,489.50 : 466,015 = 466,015 : x
  2. Step 2: Convert to fraction form
    308,489.50/466,015 = 466,015/x
  3. Step 3: Cross multiply
    308,489.50x = 466,015 × 466,015
  4. Step 4: Simplify right side
    308,489.50x = 217,169,980,225
  5. Step 5: Solve for x
    x = 217,169,980,225/308,489.50
  6. Step 6: Final answer
    x = 703,978.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.