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Finding the Third Proportional to 307,190 and 673,432

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Solution

The third proportional to 307,190 and 673,432 is: 1,476,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,190 : 673,432 = 673,432 : x
  2. Step 2: Convert to fraction form
    307,190/673,432 = 673,432/x
  3. Step 3: Cross multiply
    307,190x = 673,432 × 673,432
  4. Step 4: Simplify right side
    307,190x = 453,510,658,624
  5. Step 5: Solve for x
    x = 453,510,658,624/307,190
  6. Step 6: Final answer
    x = 1,476,319.73

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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.