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Finding the Third Proportional to 307,416 and 673,152

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Solution

The third proportional to 307,416 and 673,152 is: 1,474,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,416 : 673,152 = 673,152 : x
  2. Step 2: Convert to fraction form
    307,416/673,152 = 673,152/x
  3. Step 3: Cross multiply
    307,416x = 673,152 × 673,152
  4. Step 4: Simplify right side
    307,416x = 453,133,615,104
  5. Step 5: Solve for x
    x = 453,133,615,104/307,416
  6. Step 6: Final answer
    x = 1,474,007.91

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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.