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Finding the Third Proportional to 237,512 and 513,808

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Solution

The third proportional to 237,512 and 513,808 is: 1,111,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,512 : 513,808 = 513,808 : x
  2. Step 2: Convert to fraction form
    237,512/513,808 = 513,808/x
  3. Step 3: Cross multiply
    237,512x = 513,808 × 513,808
  4. Step 4: Simplify right side
    237,512x = 263,998,660,864
  5. Step 5: Solve for x
    x = 263,998,660,864/237,512
  6. Step 6: Final answer
    x = 1,111,517.15

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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.