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Finding the Third Proportional to 237,562 and 512,254

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Solution

The third proportional to 237,562 and 512,254 is: 1,104,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,562 : 512,254 = 512,254 : x
  2. Step 2: Convert to fraction form
    237,562/512,254 = 512,254/x
  3. Step 3: Cross multiply
    237,562x = 512,254 × 512,254
  4. Step 4: Simplify right side
    237,562x = 262,404,160,516
  5. Step 5: Solve for x
    x = 262,404,160,516/237,562
  6. Step 6: Final answer
    x = 1,104,571.27

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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.