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Finding the Third Proportional to 289.83 and 436.64

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Solution

The third proportional to 289.83 and 436.64 is: 657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 436.64 = 436.64 : x
  2. Step 2: Convert to fraction form
    289.83/436.64 = 436.64/x
  3. Step 3: Cross multiply
    289.83x = 436.64 × 436.64
  4. Step 4: Simplify right side
    289.83x = 190,655.04
  5. Step 5: Solve for x
    x = 190,655.04/289.83
  6. Step 6: Final answer
    x = 657.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.