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Finding the Third Proportional to 415.50 and 665.63

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Solution

The third proportional to 415.50 and 665.63 is: 1,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 665.63 = 665.63 : x
  2. Step 2: Convert to fraction form
    415.50/665.63 = 665.63/x
  3. Step 3: Cross multiply
    415.50x = 665.63 × 665.63
  4. Step 4: Simplify right side
    415.50x = 443,056.64
  5. Step 5: Solve for x
    x = 443,056.64/415.50
  6. Step 6: Final answer
    x = 1,066.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.