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Finding the Third Proportional to 296,421.19 and 443,820.94

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Solution

The third proportional to 296,421.19 and 443,820.94 is: 664,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,421.19 : 443,820.94 = 443,820.94 : x
  2. Step 2: Convert to fraction form
    296,421.19/443,820.94 = 443,820.94/x
  3. Step 3: Cross multiply
    296,421.19x = 443,820.94 × 443,820.94
  4. Step 4: Simplify right side
    296,421.19x = 196,977,024,563.38
  5. Step 5: Solve for x
    x = 196,977,024,563.38/296,421.19
  6. Step 6: Final answer
    x = 664,517.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.