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Finding the Third Proportional to 582,958 and 857,767

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Solution

The third proportional to 582,958 and 857,767 is: 1,262,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,958 : 857,767 = 857,767 : x
  2. Step 2: Convert to fraction form
    582,958/857,767 = 857,767/x
  3. Step 3: Cross multiply
    582,958x = 857,767 × 857,767
  4. Step 4: Simplify right side
    582,958x = 735,764,226,289
  5. Step 5: Solve for x
    x = 735,764,226,289/582,958
  6. Step 6: Final answer
    x = 1,262,122.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.