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Finding the Third Proportional to 451,740 and 660,654

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Solution

The third proportional to 451,740 and 660,654 is: 966,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,740 : 660,654 = 660,654 : x
  2. Step 2: Convert to fraction form
    451,740/660,654 = 660,654/x
  3. Step 3: Cross multiply
    451,740x = 660,654 × 660,654
  4. Step 4: Simplify right side
    451,740x = 436,463,707,716
  5. Step 5: Solve for x
    x = 436,463,707,716/451,740
  6. Step 6: Final answer
    x = 966,183.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.