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Finding the Third Proportional to 923.63 and 1,609.31

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Solution

The third proportional to 923.63 and 1,609.31 is: 2,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.63 : 1,609.31 = 1,609.31 : x
  2. Step 2: Convert to fraction form
    923.63/1,609.31 = 1,609.31/x
  3. Step 3: Cross multiply
    923.63x = 1,609.31 × 1,609.31
  4. Step 4: Simplify right side
    923.63x = 2,589,886.72
  5. Step 5: Solve for x
    x = 2,589,886.72/923.63
  6. Step 6: Final answer
    x = 2,804.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.