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Finding the Third Proportional to 196,444 and 428,871

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Solution

The third proportional to 196,444 and 428,871 is: 936,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,444 : 428,871 = 428,871 : x
  2. Step 2: Convert to fraction form
    196,444/428,871 = 428,871/x
  3. Step 3: Cross multiply
    196,444x = 428,871 × 428,871
  4. Step 4: Simplify right side
    196,444x = 183,930,334,641
  5. Step 5: Solve for x
    x = 183,930,334,641/196,444
  6. Step 6: Final answer
    x = 936,299.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.