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Finding the Third Proportional to 282,674 and 431,756

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Solution

The third proportional to 282,674 and 431,756 is: 659,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,674 : 431,756 = 431,756 : x
  2. Step 2: Convert to fraction form
    282,674/431,756 = 431,756/x
  3. Step 3: Cross multiply
    282,674x = 431,756 × 431,756
  4. Step 4: Simplify right side
    282,674x = 186,413,243,536
  5. Step 5: Solve for x
    x = 186,413,243,536/282,674
  6. Step 6: Final answer
    x = 659,463.71

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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.