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Finding the Third Proportional to 308,850.75 and 469,221.75

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Solution

The third proportional to 308,850.75 and 469,221.75 is: 712,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,850.75 : 469,221.75 = 469,221.75 : x
  2. Step 2: Convert to fraction form
    308,850.75/469,221.75 = 469,221.75/x
  3. Step 3: Cross multiply
    308,850.75x = 469,221.75 × 469,221.75
  4. Step 4: Simplify right side
    308,850.75x = 220,169,050,673.06
  5. Step 5: Solve for x
    x = 220,169,050,673.06/308,850.75
  6. Step 6: Final answer
    x = 712,865.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.