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Finding the Third Proportional to 196,803 and 431,433

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Solution

The third proportional to 196,803 and 431,433 is: 945,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,803 : 431,433 = 431,433 : x
  2. Step 2: Convert to fraction form
    196,803/431,433 = 431,433/x
  3. Step 3: Cross multiply
    196,803x = 431,433 × 431,433
  4. Step 4: Simplify right side
    196,803x = 186,134,433,489
  5. Step 5: Solve for x
    x = 186,134,433,489/196,803
  6. Step 6: Final answer
    x = 945,790.63

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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.