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Finding the Third Proportional to 265,984 and 582,016

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Solution

The third proportional to 265,984 and 582,016 is: 1,273,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,984 : 582,016 = 582,016 : x
  2. Step 2: Convert to fraction form
    265,984/582,016 = 582,016/x
  3. Step 3: Cross multiply
    265,984x = 582,016 × 582,016
  4. Step 4: Simplify right side
    265,984x = 338,742,624,256
  5. Step 5: Solve for x
    x = 338,742,624,256/265,984
  6. Step 6: Final answer
    x = 1,273,545.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.