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Finding the Third Proportional to 694.50 and 1,075.13

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Solution

The third proportional to 694.50 and 1,075.13 is: 1,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.50 : 1,075.13 = 1,075.13 : x
  2. Step 2: Convert to fraction form
    694.50/1,075.13 = 1,075.13/x
  3. Step 3: Cross multiply
    694.50x = 1,075.13 × 1,075.13
  4. Step 4: Simplify right side
    694.50x = 1,155,893.77
  5. Step 5: Solve for x
    x = 1,155,893.77/694.50
  6. Step 6: Final answer
    x = 1,664.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.