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Finding the Third Proportional to 401,853 and 612,201

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Solution

The third proportional to 401,853 and 612,201 is: 932,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,853 : 612,201 = 612,201 : x
  2. Step 2: Convert to fraction form
    401,853/612,201 = 612,201/x
  3. Step 3: Cross multiply
    401,853x = 612,201 × 612,201
  4. Step 4: Simplify right side
    401,853x = 374,790,064,401
  5. Step 5: Solve for x
    x = 374,790,064,401/401,853
  6. Step 6: Final answer
    x = 932,654.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.