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Finding the Third Proportional to 417.66 and 611.30

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Solution

The third proportional to 417.66 and 611.30 is: 894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 611.30 = 611.30 : x
  2. Step 2: Convert to fraction form
    417.66/611.30 = 611.30/x
  3. Step 3: Cross multiply
    417.66x = 611.30 × 611.30
  4. Step 4: Simplify right side
    417.66x = 373,683.87
  5. Step 5: Solve for x
    x = 373,683.87/417.66
  6. Step 6: Final answer
    x = 894.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.