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Finding the Third Proportional to 582,206 and 925,799

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Solution

The third proportional to 582,206 and 925,799 is: 1,472,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,206 : 925,799 = 925,799 : x
  2. Step 2: Convert to fraction form
    582,206/925,799 = 925,799/x
  3. Step 3: Cross multiply
    582,206x = 925,799 × 925,799
  4. Step 4: Simplify right side
    582,206x = 857,103,788,401
  5. Step 5: Solve for x
    x = 857,103,788,401/582,206
  6. Step 6: Final answer
    x = 1,472,165.85

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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.