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Finding the Third Proportional to 303,384 and 662,064

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Solution

The third proportional to 303,384 and 662,064 is: 1,444,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,384 : 662,064 = 662,064 : x
  2. Step 2: Convert to fraction form
    303,384/662,064 = 662,064/x
  3. Step 3: Cross multiply
    303,384x = 662,064 × 662,064
  4. Step 4: Simplify right side
    303,384x = 438,328,740,096
  5. Step 5: Solve for x
    x = 438,328,740,096/303,384
  6. Step 6: Final answer
    x = 1,444,798.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.