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Finding the Third Proportional to 263,892 and 575,148

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Solution

The third proportional to 263,892 and 575,148 is: 1,253,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,892 : 575,148 = 575,148 : x
  2. Step 2: Convert to fraction form
    263,892/575,148 = 575,148/x
  3. Step 3: Cross multiply
    263,892x = 575,148 × 575,148
  4. Step 4: Simplify right side
    263,892x = 330,795,221,904
  5. Step 5: Solve for x
    x = 330,795,221,904/263,892
  6. Step 6: Final answer
    x = 1,253,525.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.