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Finding the Third Proportional to 398,266 and 630,941

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Solution

The third proportional to 398,266 and 630,941 is: 999,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,266 : 630,941 = 630,941 : x
  2. Step 2: Convert to fraction form
    398,266/630,941 = 630,941/x
  3. Step 3: Cross multiply
    398,266x = 630,941 × 630,941
  4. Step 4: Simplify right side
    398,266x = 398,086,545,481
  5. Step 5: Solve for x
    x = 398,086,545,481/398,266
  6. Step 6: Final answer
    x = 999,549.41

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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.