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Finding the Third Proportional to 362,424 and 771,504

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Solution

The third proportional to 362,424 and 771,504 is: 1,642,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,424 : 771,504 = 771,504 : x
  2. Step 2: Convert to fraction form
    362,424/771,504 = 771,504/x
  3. Step 3: Cross multiply
    362,424x = 771,504 × 771,504
  4. Step 4: Simplify right side
    362,424x = 595,218,422,016
  5. Step 5: Solve for x
    x = 595,218,422,016/362,424
  6. Step 6: Final answer
    x = 1,642,326.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.