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Finding the Third Proportional to 279,031.50 and 443,457

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Solution

The third proportional to 279,031.50 and 443,457 is: 704,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,031.50 : 443,457 = 443,457 : x
  2. Step 2: Convert to fraction form
    279,031.50/443,457 = 443,457/x
  3. Step 3: Cross multiply
    279,031.50x = 443,457 × 443,457
  4. Step 4: Simplify right side
    279,031.50x = 196,654,110,849
  5. Step 5: Solve for x
    x = 196,654,110,849/279,031.50
  6. Step 6: Final answer
    x = 704,773.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.