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Finding the Third Proportional to 277,522 and 416,322

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Solution

The third proportional to 277,522 and 416,322 is: 624,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,522 : 416,322 = 416,322 : x
  2. Step 2: Convert to fraction form
    277,522/416,322 = 416,322/x
  3. Step 3: Cross multiply
    277,522x = 416,322 × 416,322
  4. Step 4: Simplify right side
    277,522x = 173,324,007,684
  5. Step 5: Solve for x
    x = 173,324,007,684/277,522
  6. Step 6: Final answer
    x = 624,541.51

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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.