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Finding the Third Proportional to 265,386 and 582,892

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Solution

The third proportional to 265,386 and 582,892 is: 1,280,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,386 : 582,892 = 582,892 : x
  2. Step 2: Convert to fraction form
    265,386/582,892 = 582,892/x
  3. Step 3: Cross multiply
    265,386x = 582,892 × 582,892
  4. Step 4: Simplify right side
    265,386x = 339,763,083,664
  5. Step 5: Solve for x
    x = 339,763,083,664/265,386
  6. Step 6: Final answer
    x = 1,280,260.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.