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Finding the Third Proportional to 303,099.75 and 470,647.13

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Solution

The third proportional to 303,099.75 and 470,647.13 is: 730,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,099.75 : 470,647.13 = 470,647.13 : x
  2. Step 2: Convert to fraction form
    303,099.75/470,647.13 = 470,647.13/x
  3. Step 3: Cross multiply
    303,099.75x = 470,647.13 × 470,647.13
  4. Step 4: Simplify right side
    303,099.75x = 221,508,716,270.77
  5. Step 5: Solve for x
    x = 221,508,716,270.77/303,099.75
  6. Step 6: Final answer
    x = 730,811.28

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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.