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Finding the Third Proportional to 704.50 and 1,694.50

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Solution

The third proportional to 704.50 and 1,694.50 is: 4,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.50 : 1,694.50 = 1,694.50 : x
  2. Step 2: Convert to fraction form
    704.50/1,694.50 = 1,694.50/x
  3. Step 3: Cross multiply
    704.50x = 1,694.50 × 1,694.50
  4. Step 4: Simplify right side
    704.50x = 2,871,330.25
  5. Step 5: Solve for x
    x = 2,871,330.25/704.50
  6. Step 6: Final answer
    x = 4,075.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.