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Finding the Third Proportional to 196,386 and 431,004

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Solution

The third proportional to 196,386 and 431,004 is: 945,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,386 : 431,004 = 431,004 : x
  2. Step 2: Convert to fraction form
    196,386/431,004 = 431,004/x
  3. Step 3: Cross multiply
    196,386x = 431,004 × 431,004
  4. Step 4: Simplify right side
    196,386x = 185,764,448,016
  5. Step 5: Solve for x
    x = 185,764,448,016/196,386
  6. Step 6: Final answer
    x = 945,914.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.