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Finding the Third Proportional to 237,412 and 560,434

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Solution

The third proportional to 237,412 and 560,434 is: 1,322,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,412 : 560,434 = 560,434 : x
  2. Step 2: Convert to fraction form
    237,412/560,434 = 560,434/x
  3. Step 3: Cross multiply
    237,412x = 560,434 × 560,434
  4. Step 4: Simplify right side
    237,412x = 314,086,268,356
  5. Step 5: Solve for x
    x = 314,086,268,356/237,412
  6. Step 6: Final answer
    x = 1,322,958.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.