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Finding the Third Proportional to 301,134 and 654,756

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Solution

The third proportional to 301,134 and 654,756 is: 1,423,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,134 : 654,756 = 654,756 : x
  2. Step 2: Convert to fraction form
    301,134/654,756 = 654,756/x
  3. Step 3: Cross multiply
    301,134x = 654,756 × 654,756
  4. Step 4: Simplify right side
    301,134x = 428,705,419,536
  5. Step 5: Solve for x
    x = 428,705,419,536/301,134
  6. Step 6: Final answer
    x = 1,423,636.72

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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.