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Finding the Third Proportional to 263,891 and 575,146

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Solution

The third proportional to 263,891 and 575,146 is: 1,253,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,891 : 575,146 = 575,146 : x
  2. Step 2: Convert to fraction form
    263,891/575,146 = 575,146/x
  3. Step 3: Cross multiply
    263,891x = 575,146 × 575,146
  4. Step 4: Simplify right side
    263,891x = 330,792,921,316
  5. Step 5: Solve for x
    x = 330,792,921,316/263,891
  6. Step 6: Final answer
    x = 1,253,521.04

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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.