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Finding the Third Proportional to 406,433 and 632,910

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Solution

The third proportional to 406,433 and 632,910 is: 985,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,433 : 632,910 = 632,910 : x
  2. Step 2: Convert to fraction form
    406,433/632,910 = 632,910/x
  3. Step 3: Cross multiply
    406,433x = 632,910 × 632,910
  4. Step 4: Simplify right side
    406,433x = 400,575,068,100
  5. Step 5: Solve for x
    x = 400,575,068,100/406,433
  6. Step 6: Final answer
    x = 985,586.97

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