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Finding the Third Proportional to 706.64 and 1,433.32

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Solution

The third proportional to 706.64 and 1,433.32 is: 2,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.64 : 1,433.32 = 1,433.32 : x
  2. Step 2: Convert to fraction form
    706.64/1,433.32 = 1,433.32/x
  3. Step 3: Cross multiply
    706.64x = 1,433.32 × 1,433.32
  4. Step 4: Simplify right side
    706.64x = 2,054,407.12
  5. Step 5: Solve for x
    x = 2,054,407.12/706.64
  6. Step 6: Final answer
    x = 2,907.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.