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Finding the Third Proportional to 289.41 and 392.98

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Solution

The third proportional to 289.41 and 392.98 is: 533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 392.98 = 392.98 : x
  2. Step 2: Convert to fraction form
    289.41/392.98 = 392.98/x
  3. Step 3: Cross multiply
    289.41x = 392.98 × 392.98
  4. Step 4: Simplify right side
    289.41x = 154,430.58
  5. Step 5: Solve for x
    x = 154,430.58/289.41
  6. Step 6: Final answer
    x = 533.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.