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Finding the Third Proportional to 277,784 and 393,321

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Solution

The third proportional to 277,784 and 393,321 is: 556,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,784 : 393,321 = 393,321 : x
  2. Step 2: Convert to fraction form
    277,784/393,321 = 393,321/x
  3. Step 3: Cross multiply
    277,784x = 393,321 × 393,321
  4. Step 4: Simplify right side
    277,784x = 154,701,409,041
  5. Step 5: Solve for x
    x = 154,701,409,041/277,784
  6. Step 6: Final answer
    x = 556,912.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.