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Finding the Third Proportional to 406,425 and 632,898

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Solution

The third proportional to 406,425 and 632,898 is: 985,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,425 : 632,898 = 632,898 : x
  2. Step 2: Convert to fraction form
    406,425/632,898 = 632,898/x
  3. Step 3: Cross multiply
    406,425x = 632,898 × 632,898
  4. Step 4: Simplify right side
    406,425x = 400,559,878,404
  5. Step 5: Solve for x
    x = 400,559,878,404/406,425
  6. Step 6: Final answer
    x = 985,568.99

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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.