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Finding the Third Proportional to 364,052 and 551,166

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Solution

The third proportional to 364,052 and 551,166 is: 834,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,052 : 551,166 = 551,166 : x
  2. Step 2: Convert to fraction form
    364,052/551,166 = 551,166/x
  3. Step 3: Cross multiply
    364,052x = 551,166 × 551,166
  4. Step 4: Simplify right side
    364,052x = 303,783,959,556
  5. Step 5: Solve for x
    x = 303,783,959,556/364,052
  6. Step 6: Final answer
    x = 834,452.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.