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Finding the Third Proportional to 254,772 and 551,048

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Solution

The third proportional to 254,772 and 551,048 is: 1,191,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,772 : 551,048 = 551,048 : x
  2. Step 2: Convert to fraction form
    254,772/551,048 = 551,048/x
  3. Step 3: Cross multiply
    254,772x = 551,048 × 551,048
  4. Step 4: Simplify right side
    254,772x = 303,653,898,304
  5. Step 5: Solve for x
    x = 303,653,898,304/254,772
  6. Step 6: Final answer
    x = 1,191,865.27

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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.