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Finding the Third Proportional to 399,118 and 631,873

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Solution

The third proportional to 399,118 and 631,873 is: 1,000,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,118 : 631,873 = 631,873 : x
  2. Step 2: Convert to fraction form
    399,118/631,873 = 631,873/x
  3. Step 3: Cross multiply
    399,118x = 631,873 × 631,873
  4. Step 4: Simplify right side
    399,118x = 399,263,488,129
  5. Step 5: Solve for x
    x = 399,263,488,129/399,118
  6. Step 6: Final answer
    x = 1,000,364.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.