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Finding the Third Proportional to 305,213.50 and 466,892.50

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Solution

The third proportional to 305,213.50 and 466,892.50 is: 714,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,213.50 : 466,892.50 = 466,892.50 : x
  2. Step 2: Convert to fraction form
    305,213.50/466,892.50 = 466,892.50/x
  3. Step 3: Cross multiply
    305,213.50x = 466,892.50 × 466,892.50
  4. Step 4: Simplify right side
    305,213.50x = 217,988,606,556.25
  5. Step 5: Solve for x
    x = 217,988,606,556.25/305,213.50
  6. Step 6: Final answer
    x = 714,216.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.