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Finding the Third Proportional to 454,590 and 673,092

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Solution

The third proportional to 454,590 and 673,092 is: 996,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,590 : 673,092 = 673,092 : x
  2. Step 2: Convert to fraction form
    454,590/673,092 = 673,092/x
  3. Step 3: Cross multiply
    454,590x = 673,092 × 673,092
  4. Step 4: Simplify right side
    454,590x = 453,052,840,464
  5. Step 5: Solve for x
    x = 453,052,840,464/454,590
  6. Step 6: Final answer
    x = 996,618.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.