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Finding the Third Proportional to 308,551.50 and 674,775

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Solution

The third proportional to 308,551.50 and 674,775 is: 1,475,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,551.50 : 674,775 = 674,775 : x
  2. Step 2: Convert to fraction form
    308,551.50/674,775 = 674,775/x
  3. Step 3: Cross multiply
    308,551.50x = 674,775 × 674,775
  4. Step 4: Simplify right side
    308,551.50x = 455,321,300,625
  5. Step 5: Solve for x
    x = 455,321,300,625/308,551.50
  6. Step 6: Final answer
    x = 1,475,673.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.