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Finding the Third Proportional to 303,750 and 467,532

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Solution

The third proportional to 303,750 and 467,532 is: 719,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,750 : 467,532 = 467,532 : x
  2. Step 2: Convert to fraction form
    303,750/467,532 = 467,532/x
  3. Step 3: Cross multiply
    303,750x = 467,532 × 467,532
  4. Step 4: Simplify right side
    303,750x = 218,586,171,024
  5. Step 5: Solve for x
    x = 218,586,171,024/303,750
  6. Step 6: Final answer
    x = 719,625.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.