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Finding the Third Proportional to 254,880 and 554,064

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Solution

The third proportional to 254,880 and 554,064 is: 1,204,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,880 : 554,064 = 554,064 : x
  2. Step 2: Convert to fraction form
    254,880/554,064 = 554,064/x
  3. Step 3: Cross multiply
    254,880x = 554,064 × 554,064
  4. Step 4: Simplify right side
    254,880x = 306,986,916,096
  5. Step 5: Solve for x
    x = 306,986,916,096/254,880
  6. Step 6: Final answer
    x = 1,204,437.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.