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Finding the Third Proportional to 196,628 and 430,052

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Solution

The third proportional to 196,628 and 430,052 is: 940,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,628 : 430,052 = 430,052 : x
  2. Step 2: Convert to fraction form
    196,628/430,052 = 430,052/x
  3. Step 3: Cross multiply
    196,628x = 430,052 × 430,052
  4. Step 4: Simplify right side
    196,628x = 184,944,722,704
  5. Step 5: Solve for x
    x = 184,944,722,704/196,628
  6. Step 6: Final answer
    x = 940,581.82

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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.