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Finding the Third Proportional to 482,208.75 and 727,688.25

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Solution

The third proportional to 482,208.75 and 727,688.25 is: 1,098,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,208.75 : 727,688.25 = 727,688.25 : x
  2. Step 2: Convert to fraction form
    482,208.75/727,688.25 = 727,688.25/x
  3. Step 3: Cross multiply
    482,208.75x = 727,688.25 × 727,688.25
  4. Step 4: Simplify right side
    482,208.75x = 529,530,189,188.06
  5. Step 5: Solve for x
    x = 529,530,189,188.06/482,208.75
  6. Step 6: Final answer
    x = 1,098,134.76

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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.