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Finding the Third Proportional to 268,253 and 580,064

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Solution

The third proportional to 268,253 and 580,064 is: 1,254,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,253 : 580,064 = 580,064 : x
  2. Step 2: Convert to fraction form
    268,253/580,064 = 580,064/x
  3. Step 3: Cross multiply
    268,253x = 580,064 × 580,064
  4. Step 4: Simplify right side
    268,253x = 336,474,244,096
  5. Step 5: Solve for x
    x = 336,474,244,096/268,253
  6. Step 6: Final answer
    x = 1,254,316.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.