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Finding the Third Proportional to 301,120 and 668,668

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Solution

The third proportional to 301,120 and 668,668 is: 1,484,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,120 : 668,668 = 668,668 : x
  2. Step 2: Convert to fraction form
    301,120/668,668 = 668,668/x
  3. Step 3: Cross multiply
    301,120x = 668,668 × 668,668
  4. Step 4: Simplify right side
    301,120x = 447,116,894,224
  5. Step 5: Solve for x
    x = 447,116,894,224/301,120
  6. Step 6: Final answer
    x = 1,484,846.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.