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Finding the Third Proportional to 305,573 and 672,058

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Solution

The third proportional to 305,573 and 672,058 is: 1,478,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,573 : 672,058 = 672,058 : x
  2. Step 2: Convert to fraction form
    305,573/672,058 = 672,058/x
  3. Step 3: Cross multiply
    305,573x = 672,058 × 672,058
  4. Step 4: Simplify right side
    305,573x = 451,661,955,364
  5. Step 5: Solve for x
    x = 451,661,955,364/305,573
  6. Step 6: Final answer
    x = 1,478,082.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.