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Finding the Third Proportional to 276,320 and 426,690

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Solution

The third proportional to 276,320 and 426,690 is: 658,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,320 : 426,690 = 426,690 : x
  2. Step 2: Convert to fraction form
    276,320/426,690 = 426,690/x
  3. Step 3: Cross multiply
    276,320x = 426,690 × 426,690
  4. Step 4: Simplify right side
    276,320x = 182,064,356,100
  5. Step 5: Solve for x
    x = 182,064,356,100/276,320
  6. Step 6: Final answer
    x = 658,889.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.