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Finding the Third Proportional to 276,920 and 593,584

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Solution

The third proportional to 276,920 and 593,584 is: 1,272,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,920 : 593,584 = 593,584 : x
  2. Step 2: Convert to fraction form
    276,920/593,584 = 593,584/x
  3. Step 3: Cross multiply
    276,920x = 593,584 × 593,584
  4. Step 4: Simplify right side
    276,920x = 352,341,965,056
  5. Step 5: Solve for x
    x = 352,341,965,056/276,920
  6. Step 6: Final answer
    x = 1,272,360.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.