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Finding the Third Proportional to 291,766.50 and 443,646

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Solution

The third proportional to 291,766.50 and 443,646 is: 674,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,766.50 : 443,646 = 443,646 : x
  2. Step 2: Convert to fraction form
    291,766.50/443,646 = 443,646/x
  3. Step 3: Cross multiply
    291,766.50x = 443,646 × 443,646
  4. Step 4: Simplify right side
    291,766.50x = 196,821,773,316
  5. Step 5: Solve for x
    x = 196,821,773,316/291,766.50
  6. Step 6: Final answer
    x = 674,586.61

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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.