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Finding the Third Proportional to 237,066 and 513,660

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Solution

The third proportional to 237,066 and 513,660 is: 1,112,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,066 : 513,660 = 513,660 : x
  2. Step 2: Convert to fraction form
    237,066/513,660 = 513,660/x
  3. Step 3: Cross multiply
    237,066x = 513,660 × 513,660
  4. Step 4: Simplify right side
    237,066x = 263,846,595,600
  5. Step 5: Solve for x
    x = 263,846,595,600/237,066
  6. Step 6: Final answer
    x = 1,112,966.83

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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.