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Finding the Third Proportional to 301,197 and 649,050

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Solution

The third proportional to 301,197 and 649,050 is: 1,398,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,197 : 649,050 = 649,050 : x
  2. Step 2: Convert to fraction form
    301,197/649,050 = 649,050/x
  3. Step 3: Cross multiply
    301,197x = 649,050 × 649,050
  4. Step 4: Simplify right side
    301,197x = 421,265,902,500
  5. Step 5: Solve for x
    x = 421,265,902,500/301,197
  6. Step 6: Final answer
    x = 1,398,639.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.