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Finding the Third Proportional to 290,635.50 and 443,487

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Solution

The third proportional to 290,635.50 and 443,487 is: 676,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,635.50 : 443,487 = 443,487 : x
  2. Step 2: Convert to fraction form
    290,635.50/443,487 = 443,487/x
  3. Step 3: Cross multiply
    290,635.50x = 443,487 × 443,487
  4. Step 4: Simplify right side
    290,635.50x = 196,680,719,169
  5. Step 5: Solve for x
    x = 196,680,719,169/290,635.50
  6. Step 6: Final answer
    x = 676,726.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.