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Finding the Third Proportional to 424,474 and 603,501

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Solution

The third proportional to 424,474 and 603,501 is: 858,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,474 : 603,501 = 603,501 : x
  2. Step 2: Convert to fraction form
    424,474/603,501 = 603,501/x
  3. Step 3: Cross multiply
    424,474x = 603,501 × 603,501
  4. Step 4: Simplify right side
    424,474x = 364,213,457,001
  5. Step 5: Solve for x
    x = 364,213,457,001/424,474
  6. Step 6: Final answer
    x = 858,034.78

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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.