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Finding the Third Proportional to 335,904 and 515,424

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Solution

The third proportional to 335,904 and 515,424 is: 790,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,904 : 515,424 = 515,424 : x
  2. Step 2: Convert to fraction form
    335,904/515,424 = 515,424/x
  3. Step 3: Cross multiply
    335,904x = 515,424 × 515,424
  4. Step 4: Simplify right side
    335,904x = 265,661,899,776
  5. Step 5: Solve for x
    x = 265,661,899,776/335,904
  6. Step 6: Final answer
    x = 790,886.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.