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Finding the Third Proportional to 303.63 and 655.71

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Solution

The third proportional to 303.63 and 655.71 is: 1,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.63 : 655.71 = 655.71 : x
  2. Step 2: Convert to fraction form
    303.63/655.71 = 655.71/x
  3. Step 3: Cross multiply
    303.63x = 655.71 × 655.71
  4. Step 4: Simplify right side
    303.63x = 429,956.83
  5. Step 5: Solve for x
    x = 429,956.83/303.63
  6. Step 6: Final answer
    x = 1,416.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.