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Finding the Third Proportional to 196,382 and 430,996

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Solution

The third proportional to 196,382 and 430,996 is: 945,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,382 : 430,996 = 430,996 : x
  2. Step 2: Convert to fraction form
    196,382/430,996 = 430,996/x
  3. Step 3: Cross multiply
    196,382x = 430,996 × 430,996
  4. Step 4: Simplify right side
    196,382x = 185,757,552,016
  5. Step 5: Solve for x
    x = 185,757,552,016/196,382
  6. Step 6: Final answer
    x = 945,899.07

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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.