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Finding the Third Proportional to 285.98 and 428.86

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Solution

The third proportional to 285.98 and 428.86 is: 643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.98 : 428.86 = 428.86 : x
  2. Step 2: Convert to fraction form
    285.98/428.86 = 428.86/x
  3. Step 3: Cross multiply
    285.98x = 428.86 × 428.86
  4. Step 4: Simplify right side
    285.98x = 183,920.36
  5. Step 5: Solve for x
    x = 183,920.36/285.98
  6. Step 6: Final answer
    x = 643.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.