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Finding the Third Proportional to 305,260 and 663,068

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Solution

The third proportional to 305,260 and 663,068 is: 1,440,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,260 : 663,068 = 663,068 : x
  2. Step 2: Convert to fraction form
    305,260/663,068 = 663,068/x
  3. Step 3: Cross multiply
    305,260x = 663,068 × 663,068
  4. Step 4: Simplify right side
    305,260x = 439,659,172,624
  5. Step 5: Solve for x
    x = 439,659,172,624/305,260
  6. Step 6: Final answer
    x = 1,440,277.71

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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.