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Finding the Third Proportional to 920.48 and 1,394.13

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Solution

The third proportional to 920.48 and 1,394.13 is: 2,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.48 : 1,394.13 = 1,394.13 : x
  2. Step 2: Convert to fraction form
    920.48/1,394.13 = 1,394.13/x
  3. Step 3: Cross multiply
    920.48x = 1,394.13 × 1,394.13
  4. Step 4: Simplify right side
    920.48x = 1,943,606.30
  5. Step 5: Solve for x
    x = 1,943,606.30/920.48
  6. Step 6: Final answer
    x = 2,111.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.