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Finding the Third Proportional to 252,268 and 551,900

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Solution

The third proportional to 252,268 and 551,900 is: 1,207,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,268 : 551,900 = 551,900 : x
  2. Step 2: Convert to fraction form
    252,268/551,900 = 551,900/x
  3. Step 3: Cross multiply
    252,268x = 551,900 × 551,900
  4. Step 4: Simplify right side
    252,268x = 304,593,610,000
  5. Step 5: Solve for x
    x = 304,593,610,000/252,268
  6. Step 6: Final answer
    x = 1,207,420.72

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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.