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Finding the Third Proportional to 924.28 and 1,299.94

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Solution

The third proportional to 924.28 and 1,299.94 is: 1,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.28 : 1,299.94 = 1,299.94 : x
  2. Step 2: Convert to fraction form
    924.28/1,299.94 = 1,299.94/x
  3. Step 3: Cross multiply
    924.28x = 1,299.94 × 1,299.94
  4. Step 4: Simplify right side
    924.28x = 1,689,837.50
  5. Step 5: Solve for x
    x = 1,689,837.50/924.28
  6. Step 6: Final answer
    x = 1,828.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.