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Finding the Third Proportional to 582,200 and 925,787

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Solution

The third proportional to 582,200 and 925,787 is: 1,472,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,200 : 925,787 = 925,787 : x
  2. Step 2: Convert to fraction form
    582,200/925,787 = 925,787/x
  3. Step 3: Cross multiply
    582,200x = 925,787 × 925,787
  4. Step 4: Simplify right side
    582,200x = 857,081,569,369
  5. Step 5: Solve for x
    x = 857,081,569,369/582,200
  6. Step 6: Final answer
    x = 1,472,142.85

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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.