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Finding the Third Proportional to 409,768 and 622,034

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Solution

The third proportional to 409,768 and 622,034 is: 944,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,768 : 622,034 = 622,034 : x
  2. Step 2: Convert to fraction form
    409,768/622,034 = 622,034/x
  3. Step 3: Cross multiply
    409,768x = 622,034 × 622,034
  4. Step 4: Simplify right side
    409,768x = 386,926,297,156
  5. Step 5: Solve for x
    x = 386,926,297,156/409,768
  6. Step 6: Final answer
    x = 944,256.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.