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Finding the Third Proportional to 582,198 and 925,784

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Solution

The third proportional to 582,198 and 925,784 is: 1,472,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,198 : 925,784 = 925,784 : x
  2. Step 2: Convert to fraction form
    582,198/925,784 = 925,784/x
  3. Step 3: Cross multiply
    582,198x = 925,784 × 925,784
  4. Step 4: Simplify right side
    582,198x = 857,076,014,656
  5. Step 5: Solve for x
    x = 857,076,014,656/582,198
  6. Step 6: Final answer
    x = 1,472,138.37

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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.