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Finding the Third Proportional to 320,592.94 and 500,299.03

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Solution

The third proportional to 320,592.94 and 500,299.03 is: 780,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,592.94 : 500,299.03 = 500,299.03 : x
  2. Step 2: Convert to fraction form
    320,592.94/500,299.03 = 500,299.03/x
  3. Step 3: Cross multiply
    320,592.94x = 500,299.03 × 500,299.03
  4. Step 4: Simplify right side
    320,592.94x = 250,299,120,669.69
  5. Step 5: Solve for x
    x = 250,299,120,669.69/320,592.94
  6. Step 6: Final answer
    x = 780,738.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.