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Finding the Third Proportional to 196,440 and 430,032

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Solution

The third proportional to 196,440 and 430,032 is: 941,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,440 : 430,032 = 430,032 : x
  2. Step 2: Convert to fraction form
    196,440/430,032 = 430,032/x
  3. Step 3: Cross multiply
    196,440x = 430,032 × 430,032
  4. Step 4: Simplify right side
    196,440x = 184,927,521,024
  5. Step 5: Solve for x
    x = 184,927,521,024/196,440
  6. Step 6: Final answer
    x = 941,394.43

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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.