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Finding the Third Proportional to 262,892.25 and 558,596.25

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Solution

The third proportional to 262,892.25 and 558,596.25 is: 1,186,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,892.25 : 558,596.25 = 558,596.25 : x
  2. Step 2: Convert to fraction form
    262,892.25/558,596.25 = 558,596.25/x
  3. Step 3: Cross multiply
    262,892.25x = 558,596.25 × 558,596.25
  4. Step 4: Simplify right side
    262,892.25x = 312,029,770,514.06
  5. Step 5: Solve for x
    x = 312,029,770,514.06/262,892.25
  6. Step 6: Final answer
    x = 1,186,911.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.