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Finding the Third Proportional to 303,440 and 662,176

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Solution

The third proportional to 303,440 and 662,176 is: 1,445,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,440 : 662,176 = 662,176 : x
  2. Step 2: Convert to fraction form
    303,440/662,176 = 662,176/x
  3. Step 3: Cross multiply
    303,440x = 662,176 × 662,176
  4. Step 4: Simplify right side
    303,440x = 438,477,054,976
  5. Step 5: Solve for x
    x = 438,477,054,976/303,440
  6. Step 6: Final answer
    x = 1,445,020.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.