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Finding the Third Proportional to 237,298 and 511,888

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Solution

The third proportional to 237,298 and 511,888 is: 1,104,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,298 : 511,888 = 511,888 : x
  2. Step 2: Convert to fraction form
    237,298/511,888 = 511,888/x
  3. Step 3: Cross multiply
    237,298x = 511,888 × 511,888
  4. Step 4: Simplify right side
    237,298x = 262,029,324,544
  5. Step 5: Solve for x
    x = 262,029,324,544/237,298
  6. Step 6: Final answer
    x = 1,104,220.54

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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.