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Finding the Third Proportional to 204,444 and 447,021

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Solution

The third proportional to 204,444 and 447,021 is: 977,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,444 : 447,021 = 447,021 : x
  2. Step 2: Convert to fraction form
    204,444/447,021 = 447,021/x
  3. Step 3: Cross multiply
    204,444x = 447,021 × 447,021
  4. Step 4: Simplify right side
    204,444x = 199,827,774,441
  5. Step 5: Solve for x
    x = 199,827,774,441/204,444
  6. Step 6: Final answer
    x = 977,420.59

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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.