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Finding the Third Proportional to 367,478 and 551,219

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Solution

The third proportional to 367,478 and 551,219 is: 826,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,478 : 551,219 = 551,219 : x
  2. Step 2: Convert to fraction form
    367,478/551,219 = 551,219/x
  3. Step 3: Cross multiply
    367,478x = 551,219 × 551,219
  4. Step 4: Simplify right side
    367,478x = 303,842,385,961
  5. Step 5: Solve for x
    x = 303,842,385,961/367,478
  6. Step 6: Final answer
    x = 826,831.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.