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Finding the Third Proportional to 237,306 and 511,908

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Solution

The third proportional to 237,306 and 511,908 is: 1,104,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,306 : 511,908 = 511,908 : x
  2. Step 2: Convert to fraction form
    237,306/511,908 = 511,908/x
  3. Step 3: Cross multiply
    237,306x = 511,908 × 511,908
  4. Step 4: Simplify right side
    237,306x = 262,049,800,464
  5. Step 5: Solve for x
    x = 262,049,800,464/237,306
  6. Step 6: Final answer
    x = 1,104,269.59

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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.