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Finding the Third Proportional to 253,984 and 551,752

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Solution

The third proportional to 253,984 and 551,752 is: 1,198,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,984 : 551,752 = 551,752 : x
  2. Step 2: Convert to fraction form
    253,984/551,752 = 551,752/x
  3. Step 3: Cross multiply
    253,984x = 551,752 × 551,752
  4. Step 4: Simplify right side
    253,984x = 304,430,269,504
  5. Step 5: Solve for x
    x = 304,430,269,504/253,984
  6. Step 6: Final answer
    x = 1,198,619.87

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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.