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Finding the Third Proportional to 424,612 and 662,756

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Solution

The third proportional to 424,612 and 662,756 is: 1,034,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,612 : 662,756 = 662,756 : x
  2. Step 2: Convert to fraction form
    424,612/662,756 = 662,756/x
  3. Step 3: Cross multiply
    424,612x = 662,756 × 662,756
  4. Step 4: Simplify right side
    424,612x = 439,245,515,536
  5. Step 5: Solve for x
    x = 439,245,515,536/424,612
  6. Step 6: Final answer
    x = 1,034,463.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.