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Finding the Third Proportional to 406,608 and 632,056

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Solution

The third proportional to 406,608 and 632,056 is: 982,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,608 : 632,056 = 632,056 : x
  2. Step 2: Convert to fraction form
    406,608/632,056 = 632,056/x
  3. Step 3: Cross multiply
    406,608x = 632,056 × 632,056
  4. Step 4: Simplify right side
    406,608x = 399,494,787,136
  5. Step 5: Solve for x
    x = 399,494,787,136/406,608
  6. Step 6: Final answer
    x = 982,505.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.