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Finding the Third Proportional to 210,782.25 and 443,592

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Solution

The third proportional to 210,782.25 and 443,592 is: 933,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,782.25 : 443,592 = 443,592 : x
  2. Step 2: Convert to fraction form
    210,782.25/443,592 = 443,592/x
  3. Step 3: Cross multiply
    210,782.25x = 443,592 × 443,592
  4. Step 4: Simplify right side
    210,782.25x = 196,773,862,464
  5. Step 5: Solve for x
    x = 196,773,862,464/210,782.25
  6. Step 6: Final answer
    x = 933,540.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.