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Finding the Third Proportional to 461.64 and 606.08

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Solution

The third proportional to 461.64 and 606.08 is: 795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 606.08 = 606.08 : x
  2. Step 2: Convert to fraction form
    461.64/606.08 = 606.08/x
  3. Step 3: Cross multiply
    461.64x = 606.08 × 606.08
  4. Step 4: Simplify right side
    461.64x = 367,328.33
  5. Step 5: Solve for x
    x = 367,328.33/461.64
  6. Step 6: Final answer
    x = 795.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.