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Finding the Third Proportional to 692.30 and 1,430.16

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Solution

The third proportional to 692.30 and 1,430.16 is: 2,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.30 : 1,430.16 = 1,430.16 : x
  2. Step 2: Convert to fraction form
    692.30/1,430.16 = 1,430.16/x
  3. Step 3: Cross multiply
    692.30x = 1,430.16 × 1,430.16
  4. Step 4: Simplify right side
    692.30x = 2,045,346.90
  5. Step 5: Solve for x
    x = 2,045,346.90/692.30
  6. Step 6: Final answer
    x = 2,954.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.