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Finding the Third Proportional to 361,980 and 772,034

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Solution

The third proportional to 361,980 and 772,034 is: 1,646,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,980 : 772,034 = 772,034 : x
  2. Step 2: Convert to fraction form
    361,980/772,034 = 772,034/x
  3. Step 3: Cross multiply
    361,980x = 772,034 × 772,034
  4. Step 4: Simplify right side
    361,980x = 596,036,497,156
  5. Step 5: Solve for x
    x = 596,036,497,156/361,980
  6. Step 6: Final answer
    x = 1,646,600.63

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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.