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Finding the Third Proportional to 296.63 and 692.81

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Solution

The third proportional to 296.63 and 692.81 is: 1,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.63 : 692.81 = 692.81 : x
  2. Step 2: Convert to fraction form
    296.63/692.81 = 692.81/x
  3. Step 3: Cross multiply
    296.63x = 692.81 × 692.81
  4. Step 4: Simplify right side
    296.63x = 479,989.16
  5. Step 5: Solve for x
    x = 479,989.16/296.63
  6. Step 6: Final answer
    x = 1,618.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.