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Finding the Third Proportional to 924.94 and 1,373.34

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Solution

The third proportional to 924.94 and 1,373.34 is: 2,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.94 : 1,373.34 = 1,373.34 : x
  2. Step 2: Convert to fraction form
    924.94/1,373.34 = 1,373.34/x
  3. Step 3: Cross multiply
    924.94x = 1,373.34 × 1,373.34
  4. Step 4: Simplify right side
    924.94x = 1,886,073.06
  5. Step 5: Solve for x
    x = 1,886,073.06/924.94
  6. Step 6: Final answer
    x = 2,039.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.