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Finding the Third Proportional to 295,709.63 and 443,072.38

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Solution

The third proportional to 295,709.63 and 443,072.38 is: 663,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,709.63 : 443,072.38 = 443,072.38 : x
  2. Step 2: Convert to fraction form
    295,709.63/443,072.38 = 443,072.38/x
  3. Step 3: Cross multiply
    295,709.63x = 443,072.38 × 443,072.38
  4. Step 4: Simplify right side
    295,709.63x = 196,313,129,488.14
  5. Step 5: Solve for x
    x = 196,313,129,488.14/295,709.63
  6. Step 6: Final answer
    x = 663,871.29

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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.