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Finding the Third Proportional to 187,958 and 443,548

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Solution

The third proportional to 187,958 and 443,548 is: 1,046,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,958 : 443,548 = 443,548 : x
  2. Step 2: Convert to fraction form
    187,958/443,548 = 443,548/x
  3. Step 3: Cross multiply
    187,958x = 443,548 × 443,548
  4. Step 4: Simplify right side
    187,958x = 196,734,828,304
  5. Step 5: Solve for x
    x = 196,734,828,304/187,958
  6. Step 6: Final answer
    x = 1,046,695.69

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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.