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Finding the Third Proportional to 301,958 and 617,020

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Solution

The third proportional to 301,958 and 617,020 is: 1,260,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,958 : 617,020 = 617,020 : x
  2. Step 2: Convert to fraction form
    301,958/617,020 = 617,020/x
  3. Step 3: Cross multiply
    301,958x = 617,020 × 617,020
  4. Step 4: Simplify right side
    301,958x = 380,713,680,400
  5. Step 5: Solve for x
    x = 380,713,680,400/301,958
  6. Step 6: Final answer
    x = 1,260,816.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.