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Finding the Third Proportional to 401,215.50 and 595,188

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Solution

The third proportional to 401,215.50 and 595,188 is: 882,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,215.50 : 595,188 = 595,188 : x
  2. Step 2: Convert to fraction form
    401,215.50/595,188 = 595,188/x
  3. Step 3: Cross multiply
    401,215.50x = 595,188 × 595,188
  4. Step 4: Simplify right side
    401,215.50x = 354,248,755,344
  5. Step 5: Solve for x
    x = 354,248,755,344/401,215.50
  6. Step 6: Final answer
    x = 882,938.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.