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Finding the Third Proportional to 582,193 and 883,138

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Solution

The third proportional to 582,193 and 883,138 is: 1,339,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,193 : 883,138 = 883,138 : x
  2. Step 2: Convert to fraction form
    582,193/883,138 = 883,138/x
  3. Step 3: Cross multiply
    582,193x = 883,138 × 883,138
  4. Step 4: Simplify right side
    582,193x = 779,932,727,044
  5. Step 5: Solve for x
    x = 779,932,727,044/582,193
  6. Step 6: Final answer
    x = 1,339,646.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.