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Finding the Third Proportional to 364,008 and 551,100

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Solution

The third proportional to 364,008 and 551,100 is: 834,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,008 : 551,100 = 551,100 : x
  2. Step 2: Convert to fraction form
    364,008/551,100 = 551,100/x
  3. Step 3: Cross multiply
    364,008x = 551,100 × 551,100
  4. Step 4: Simplify right side
    364,008x = 303,711,210,000
  5. Step 5: Solve for x
    x = 303,711,210,000/364,008
  6. Step 6: Final answer
    x = 834,353.12

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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.