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Finding the Third Proportional to 305,672 and 673,552

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Solution

The third proportional to 305,672 and 673,552 is: 1,484,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,672 : 673,552 = 673,552 : x
  2. Step 2: Convert to fraction form
    305,672/673,552 = 673,552/x
  3. Step 3: Cross multiply
    305,672x = 673,552 × 673,552
  4. Step 4: Simplify right side
    305,672x = 453,672,296,704
  5. Step 5: Solve for x
    x = 453,672,296,704/305,672
  6. Step 6: Final answer
    x = 1,484,180.09

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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.