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Finding the Third Proportional to 582,956 and 857,764

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Solution

The third proportional to 582,956 and 857,764 is: 1,262,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,956 : 857,764 = 857,764 : x
  2. Step 2: Convert to fraction form
    582,956/857,764 = 857,764/x
  3. Step 3: Cross multiply
    582,956x = 857,764 × 857,764
  4. Step 4: Simplify right side
    582,956x = 735,759,079,696
  5. Step 5: Solve for x
    x = 735,759,079,696/582,956
  6. Step 6: Final answer
    x = 1,262,117.69

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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.