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Finding the Third Proportional to 254,774 and 551,052

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Solution

The third proportional to 254,774 and 551,052 is: 1,191,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,774 : 551,052 = 551,052 : x
  2. Step 2: Convert to fraction form
    254,774/551,052 = 551,052/x
  3. Step 3: Cross multiply
    254,774x = 551,052 × 551,052
  4. Step 4: Simplify right side
    254,774x = 303,658,306,704
  5. Step 5: Solve for x
    x = 303,658,306,704/254,774
  6. Step 6: Final answer
    x = 1,191,873.22

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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.