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Finding the Third Proportional to 417.66 and 575.23

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Solution

The third proportional to 417.66 and 575.23 is: 792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 575.23 = 575.23 : x
  2. Step 2: Convert to fraction form
    417.66/575.23 = 575.23/x
  3. Step 3: Cross multiply
    417.66x = 575.23 × 575.23
  4. Step 4: Simplify right side
    417.66x = 330,885.60
  5. Step 5: Solve for x
    x = 330,885.60/417.66
  6. Step 6: Final answer
    x = 792.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.