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Finding the Third Proportional to 291,309 and 443,044.50

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Solution

The third proportional to 291,309 and 443,044.50 is: 673,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,309 : 443,044.50 = 443,044.50 : x
  2. Step 2: Convert to fraction form
    291,309/443,044.50 = 443,044.50/x
  3. Step 3: Cross multiply
    291,309x = 443,044.50 × 443,044.50
  4. Step 4: Simplify right side
    291,309x = 196,288,428,980.25
  5. Step 5: Solve for x
    x = 196,288,428,980.25/291,309
  6. Step 6: Final answer
    x = 673,815.19

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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.