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Finding the Third Proportional to 305,673 and 673,554

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Solution

The third proportional to 305,673 and 673,554 is: 1,484,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,673 : 673,554 = 673,554 : x
  2. Step 2: Convert to fraction form
    305,673/673,554 = 673,554/x
  3. Step 3: Cross multiply
    305,673x = 673,554 × 673,554
  4. Step 4: Simplify right side
    305,673x = 453,674,990,916
  5. Step 5: Solve for x
    x = 453,674,990,916/305,673
  6. Step 6: Final answer
    x = 1,484,184.05

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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.