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Finding the Third Proportional to 303,523.50 and 665,064

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Solution

The third proportional to 303,523.50 and 665,064 is: 1,457,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,523.50 : 665,064 = 665,064 : x
  2. Step 2: Convert to fraction form
    303,523.50/665,064 = 665,064/x
  3. Step 3: Cross multiply
    303,523.50x = 665,064 × 665,064
  4. Step 4: Simplify right side
    303,523.50x = 442,310,124,096
  5. Step 5: Solve for x
    x = 442,310,124,096/303,523.50
  6. Step 6: Final answer
    x = 1,457,251.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.