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Finding the Third Proportional to 296,147.44 and 433,114.31

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Solution

The third proportional to 296,147.44 and 433,114.31 is: 633,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,147.44 : 433,114.31 = 433,114.31 : x
  2. Step 2: Convert to fraction form
    296,147.44/433,114.31 = 433,114.31/x
  3. Step 3: Cross multiply
    296,147.44x = 433,114.31 × 433,114.31
  4. Step 4: Simplify right side
    296,147.44x = 187,588,007,692.35
  5. Step 5: Solve for x
    x = 187,588,007,692.35/296,147.44
  6. Step 6: Final answer
    x = 633,427.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.