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Finding the Third Proportional to 696.50 and 1,075.38

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Solution

The third proportional to 696.50 and 1,075.38 is: 1,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.50 : 1,075.38 = 1,075.38 : x
  2. Step 2: Convert to fraction form
    696.50/1,075.38 = 1,075.38/x
  3. Step 3: Cross multiply
    696.50x = 1,075.38 × 1,075.38
  4. Step 4: Simplify right side
    696.50x = 1,156,431.39
  5. Step 5: Solve for x
    x = 1,156,431.39/696.50
  6. Step 6: Final answer
    x = 1,660.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.