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Finding the Third Proportional to 330,135 and 686,100

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Solution

The third proportional to 330,135 and 686,100 is: 1,425,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,135 : 686,100 = 686,100 : x
  2. Step 2: Convert to fraction form
    330,135/686,100 = 686,100/x
  3. Step 3: Cross multiply
    330,135x = 686,100 × 686,100
  4. Step 4: Simplify right side
    330,135x = 470,733,210,000
  5. Step 5: Solve for x
    x = 470,733,210,000/330,135
  6. Step 6: Final answer
    x = 1,425,880.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.