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Finding the Third Proportional to 303,108 and 470,619

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Solution

The third proportional to 303,108 and 470,619 is: 730,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,108 : 470,619 = 470,619 : x
  2. Step 2: Convert to fraction form
    303,108/470,619 = 470,619/x
  3. Step 3: Cross multiply
    303,108x = 470,619 × 470,619
  4. Step 4: Simplify right side
    303,108x = 221,482,243,161
  5. Step 5: Solve for x
    x = 221,482,243,161/303,108
  6. Step 6: Final answer
    x = 730,704.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.