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Finding the Third Proportional to 252,352 and 551,936

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Solution

The third proportional to 252,352 and 551,936 is: 1,207,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,352 : 551,936 = 551,936 : x
  2. Step 2: Convert to fraction form
    252,352/551,936 = 551,936/x
  3. Step 3: Cross multiply
    252,352x = 551,936 × 551,936
  4. Step 4: Simplify right side
    252,352x = 304,633,348,096
  5. Step 5: Solve for x
    x = 304,633,348,096/252,352
  6. Step 6: Final answer
    x = 1,207,176.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.