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Finding the Third Proportional to 196,436 and 430,024

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Solution

The third proportional to 196,436 and 430,024 is: 941,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,436 : 430,024 = 430,024 : x
  2. Step 2: Convert to fraction form
    196,436/430,024 = 430,024/x
  3. Step 3: Cross multiply
    196,436x = 430,024 × 430,024
  4. Step 4: Simplify right side
    196,436x = 184,920,640,576
  5. Step 5: Solve for x
    x = 184,920,640,576/196,436
  6. Step 6: Final answer
    x = 941,378.57

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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.