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Finding the Third Proportional to 406,384 and 632,845

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Solution

The third proportional to 406,384 and 632,845 is: 985,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,384 : 632,845 = 632,845 : x
  2. Step 2: Convert to fraction form
    406,384/632,845 = 632,845/x
  3. Step 3: Cross multiply
    406,384x = 632,845 × 632,845
  4. Step 4: Simplify right side
    406,384x = 400,492,794,025
  5. Step 5: Solve for x
    x = 400,492,794,025/406,384
  6. Step 6: Final answer
    x = 985,503.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.