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Finding the Third Proportional to 301,124 and 668,677

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Solution

The third proportional to 301,124 and 668,677 is: 1,484,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,124 : 668,677 = 668,677 : x
  2. Step 2: Convert to fraction form
    301,124/668,677 = 668,677/x
  3. Step 3: Cross multiply
    301,124x = 668,677 × 668,677
  4. Step 4: Simplify right side
    301,124x = 447,128,930,329
  5. Step 5: Solve for x
    x = 447,128,930,329/301,124
  6. Step 6: Final answer
    x = 1,484,866.47

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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.