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Finding the Third Proportional to 276,192 and 594,664

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Solution

The third proportional to 276,192 and 594,664 is: 1,280,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,192 : 594,664 = 594,664 : x
  2. Step 2: Convert to fraction form
    276,192/594,664 = 594,664/x
  3. Step 3: Cross multiply
    276,192x = 594,664 × 594,664
  4. Step 4: Simplify right side
    276,192x = 353,625,272,896
  5. Step 5: Solve for x
    x = 353,625,272,896/276,192
  6. Step 6: Final answer
    x = 1,280,360.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.