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Finding the Third Proportional to 582,224 and 925,826

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Solution

The third proportional to 582,224 and 925,826 is: 1,472,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,224 : 925,826 = 925,826 : x
  2. Step 2: Convert to fraction form
    582,224/925,826 = 925,826/x
  3. Step 3: Cross multiply
    582,224x = 925,826 × 925,826
  4. Step 4: Simplify right side
    582,224x = 857,153,782,276
  5. Step 5: Solve for x
    x = 857,153,782,276/582,224
  6. Step 6: Final answer
    x = 1,472,206.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.