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Finding the Third Proportional to 424,476 and 603,504

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Solution

The third proportional to 424,476 and 603,504 is: 858,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,476 : 603,504 = 603,504 : x
  2. Step 2: Convert to fraction form
    424,476/603,504 = 603,504/x
  3. Step 3: Cross multiply
    424,476x = 603,504 × 603,504
  4. Step 4: Simplify right side
    424,476x = 364,217,078,016
  5. Step 5: Solve for x
    x = 364,217,078,016/424,476
  6. Step 6: Final answer
    x = 858,039.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.