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Finding the Third Proportional to 344,223 and 495,777

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Solution

The third proportional to 344,223 and 495,777 is: 714,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,223 : 495,777 = 495,777 : x
  2. Step 2: Convert to fraction form
    344,223/495,777 = 495,777/x
  3. Step 3: Cross multiply
    344,223x = 495,777 × 495,777
  4. Step 4: Simplify right side
    344,223x = 245,794,833,729
  5. Step 5: Solve for x
    x = 245,794,833,729/344,223
  6. Step 6: Final answer
    x = 714,056.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.