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Finding the Third Proportional to 237,293 and 511,879

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Solution

The third proportional to 237,293 and 511,879 is: 1,104,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,293 : 511,879 = 511,879 : x
  2. Step 2: Convert to fraction form
    237,293/511,879 = 511,879/x
  3. Step 3: Cross multiply
    237,293x = 511,879 × 511,879
  4. Step 4: Simplify right side
    237,293x = 262,020,110,641
  5. Step 5: Solve for x
    x = 262,020,110,641/237,293
  6. Step 6: Final answer
    x = 1,104,204.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.