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Finding the Third Proportional to 364,014 and 551,109

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Solution

The third proportional to 364,014 and 551,109 is: 834,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,014 : 551,109 = 551,109 : x
  2. Step 2: Convert to fraction form
    364,014/551,109 = 551,109/x
  3. Step 3: Cross multiply
    364,014x = 551,109 × 551,109
  4. Step 4: Simplify right side
    364,014x = 303,721,129,881
  5. Step 5: Solve for x
    x = 303,721,129,881/364,014
  6. Step 6: Final answer
    x = 834,366.62

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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.