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Finding the Third Proportional to 265,988 and 591,016

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Solution

The third proportional to 265,988 and 591,016 is: 1,313,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,988 : 591,016 = 591,016 : x
  2. Step 2: Convert to fraction form
    265,988/591,016 = 591,016/x
  3. Step 3: Cross multiply
    265,988x = 591,016 × 591,016
  4. Step 4: Simplify right side
    265,988x = 349,299,912,256
  5. Step 5: Solve for x
    x = 349,299,912,256/265,988
  6. Step 6: Final answer
    x = 1,313,216.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.