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Finding the Third Proportional to 305,253 and 663,024.75

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Solution

The third proportional to 305,253 and 663,024.75 is: 1,440,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,253 : 663,024.75 = 663,024.75 : x
  2. Step 2: Convert to fraction form
    305,253/663,024.75 = 663,024.75/x
  3. Step 3: Cross multiply
    305,253x = 663,024.75 × 663,024.75
  4. Step 4: Simplify right side
    305,253x = 439,601,819,112.56
  5. Step 5: Solve for x
    x = 439,601,819,112.56/305,253
  6. Step 6: Final answer
    x = 1,440,122.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.