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Finding the Third Proportional to 264,906 and 399,791

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Solution

The third proportional to 264,906 and 399,791 is: 603,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906 : 399,791 = 399,791 : x
  2. Step 2: Convert to fraction form
    264,906/399,791 = 399,791/x
  3. Step 3: Cross multiply
    264,906x = 399,791 × 399,791
  4. Step 4: Simplify right side
    264,906x = 159,832,843,681
  5. Step 5: Solve for x
    x = 159,832,843,681/264,906
  6. Step 6: Final answer
    x = 603,356.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.