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Finding the Third Proportional to 309,649.50 and 512,475.75

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Solution

The third proportional to 309,649.50 and 512,475.75 is: 848,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,649.50 : 512,475.75 = 512,475.75 : x
  2. Step 2: Convert to fraction form
    309,649.50/512,475.75 = 512,475.75/x
  3. Step 3: Cross multiply
    309,649.50x = 512,475.75 × 512,475.75
  4. Step 4: Simplify right side
    309,649.50x = 262,631,394,338.06
  5. Step 5: Solve for x
    x = 262,631,394,338.06/309,649.50
  6. Step 6: Final answer
    x = 848,157.01

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.