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Finding the Third Proportional to 305,248.50 and 466,944.75

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Solution

The third proportional to 305,248.50 and 466,944.75 is: 714,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,248.50 : 466,944.75 = 466,944.75 : x
  2. Step 2: Convert to fraction form
    305,248.50/466,944.75 = 466,944.75/x
  3. Step 3: Cross multiply
    305,248.50x = 466,944.75 × 466,944.75
  4. Step 4: Simplify right side
    305,248.50x = 218,037,399,552.56
  5. Step 5: Solve for x
    x = 218,037,399,552.56/305,248.50
  6. Step 6: Final answer
    x = 714,294.75

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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.