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Finding the Third Proportional to 364,010 and 551,103

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Solution

The third proportional to 364,010 and 551,103 is: 834,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,010 : 551,103 = 551,103 : x
  2. Step 2: Convert to fraction form
    364,010/551,103 = 551,103/x
  3. Step 3: Cross multiply
    364,010x = 551,103 × 551,103
  4. Step 4: Simplify right side
    364,010x = 303,714,516,609
  5. Step 5: Solve for x
    x = 303,714,516,609/364,010
  6. Step 6: Final answer
    x = 834,357.62

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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.