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Finding the Third Proportional to 351,811.50 and 686,122.50

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Solution

The third proportional to 351,811.50 and 686,122.50 is: 1,338,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,811.50 : 686,122.50 = 686,122.50 : x
  2. Step 2: Convert to fraction form
    351,811.50/686,122.50 = 686,122.50/x
  3. Step 3: Cross multiply
    351,811.50x = 686,122.50 × 686,122.50
  4. Step 4: Simplify right side
    351,811.50x = 470,764,085,006.25
  5. Step 5: Solve for x
    x = 470,764,085,006.25/351,811.50
  6. Step 6: Final answer
    x = 1,338,114.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.