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Finding the Third Proportional to 363,494 and 771,052

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Solution

The third proportional to 363,494 and 771,052 is: 1,635,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,494 : 771,052 = 771,052 : x
  2. Step 2: Convert to fraction form
    363,494/771,052 = 771,052/x
  3. Step 3: Cross multiply
    363,494x = 771,052 × 771,052
  4. Step 4: Simplify right side
    363,494x = 594,521,186,704
  5. Step 5: Solve for x
    x = 594,521,186,704/363,494
  6. Step 6: Final answer
    x = 1,635,573.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.