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Finding the Third Proportional to 582,202 and 925,790

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Solution

The third proportional to 582,202 and 925,790 is: 1,472,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,202 : 925,790 = 925,790 : x
  2. Step 2: Convert to fraction form
    582,202/925,790 = 925,790/x
  3. Step 3: Cross multiply
    582,202x = 925,790 × 925,790
  4. Step 4: Simplify right side
    582,202x = 857,087,124,100
  5. Step 5: Solve for x
    x = 857,087,124,100/582,202
  6. Step 6: Final answer
    x = 1,472,147.34

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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.