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Finding the Third Proportional to 406,391 and 632,852

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Solution

The third proportional to 406,391 and 632,852 is: 985,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,391 : 632,852 = 632,852 : x
  2. Step 2: Convert to fraction form
    406,391/632,852 = 632,852/x
  3. Step 3: Cross multiply
    406,391x = 632,852 × 632,852
  4. Step 4: Simplify right side
    406,391x = 400,501,653,904
  5. Step 5: Solve for x
    x = 400,501,653,904/406,391
  6. Step 6: Final answer
    x = 985,508.18

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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.