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Finding the Third Proportional to 922.75 and 1,384.50

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Solution

The third proportional to 922.75 and 1,384.50 is: 2,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.75 : 1,384.50 = 1,384.50 : x
  2. Step 2: Convert to fraction form
    922.75/1,384.50 = 1,384.50/x
  3. Step 3: Cross multiply
    922.75x = 1,384.50 × 1,384.50
  4. Step 4: Simplify right side
    922.75x = 1,916,840.25
  5. Step 5: Solve for x
    x = 1,916,840.25/922.75
  6. Step 6: Final answer
    x = 2,077.31

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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.