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Finding the Third Proportional to 237,052 and 513,452

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Solution

The third proportional to 237,052 and 513,452 is: 1,112,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,052 : 513,452 = 513,452 : x
  2. Step 2: Convert to fraction form
    237,052/513,452 = 513,452/x
  3. Step 3: Cross multiply
    237,052x = 513,452 × 513,452
  4. Step 4: Simplify right side
    237,052x = 263,632,956,304
  5. Step 5: Solve for x
    x = 263,632,956,304/237,052
  6. Step 6: Final answer
    x = 1,112,131.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.