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Finding the Third Proportional to 470,223 and 660,741

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Solution

The third proportional to 470,223 and 660,741 is: 928,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223 : 660,741 = 660,741 : x
  2. Step 2: Convert to fraction form
    470,223/660,741 = 660,741/x
  3. Step 3: Cross multiply
    470,223x = 660,741 × 660,741
  4. Step 4: Simplify right side
    470,223x = 436,578,669,081
  5. Step 5: Solve for x
    x = 436,578,669,081/470,223
  6. Step 6: Final answer
    x = 928,450.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.