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Finding the Third Proportional to 406.90 and 624.59

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Solution

The third proportional to 406.90 and 624.59 is: 958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.90 : 624.59 = 624.59 : x
  2. Step 2: Convert to fraction form
    406.90/624.59 = 624.59/x
  3. Step 3: Cross multiply
    406.90x = 624.59 × 624.59
  4. Step 4: Simplify right side
    406.90x = 390,107.59
  5. Step 5: Solve for x
    x = 390,107.59/406.90
  6. Step 6: Final answer
    x = 958.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.