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Finding the Third Proportional to 197,619 and 439,452

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Solution

The third proportional to 197,619 and 439,452 is: 977,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,619 : 439,452 = 439,452 : x
  2. Step 2: Convert to fraction form
    197,619/439,452 = 439,452/x
  3. Step 3: Cross multiply
    197,619x = 439,452 × 439,452
  4. Step 4: Simplify right side
    197,619x = 193,118,060,304
  5. Step 5: Solve for x
    x = 193,118,060,304/197,619
  6. Step 6: Final answer
    x = 977,224.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.