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Finding the Third Proportional to 305,872 and 660,944

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Solution

The third proportional to 305,872 and 660,944 is: 1,428,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872 : 660,944 = 660,944 : x
  2. Step 2: Convert to fraction form
    305,872/660,944 = 660,944/x
  3. Step 3: Cross multiply
    305,872x = 660,944 × 660,944
  4. Step 4: Simplify right side
    305,872x = 436,846,971,136
  5. Step 5: Solve for x
    x = 436,846,971,136/305,872
  6. Step 6: Final answer
    x = 1,428,201.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.