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Finding the Third Proportional to 264,904 and 399,788

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Solution

The third proportional to 264,904 and 399,788 is: 603,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,904 : 399,788 = 399,788 : x
  2. Step 2: Convert to fraction form
    264,904/399,788 = 399,788/x
  3. Step 3: Cross multiply
    264,904x = 399,788 × 399,788
  4. Step 4: Simplify right side
    264,904x = 159,830,444,944
  5. Step 5: Solve for x
    x = 159,830,444,944/264,904
  6. Step 6: Final answer
    x = 603,352.33

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