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Finding the Third Proportional to 450,042 and 633,039

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Solution

The third proportional to 450,042 and 633,039 is: 890,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,042 : 633,039 = 633,039 : x
  2. Step 2: Convert to fraction form
    450,042/633,039 = 633,039/x
  3. Step 3: Cross multiply
    450,042x = 633,039 × 633,039
  4. Step 4: Simplify right side
    450,042x = 400,738,375,521
  5. Step 5: Solve for x
    x = 400,738,375,521/450,042
  6. Step 6: Final answer
    x = 890,446.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.