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Finding the Third Proportional to 252,323 and 551,086

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Solution

The third proportional to 252,323 and 551,086 is: 1,203,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,323 : 551,086 = 551,086 : x
  2. Step 2: Convert to fraction form
    252,323/551,086 = 551,086/x
  3. Step 3: Cross multiply
    252,323x = 551,086 × 551,086
  4. Step 4: Simplify right side
    252,323x = 303,695,779,396
  5. Step 5: Solve for x
    x = 303,695,779,396/252,323
  6. Step 6: Final answer
    x = 1,203,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.