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Finding the Third Proportional to 594.94 and 856.94

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Solution

The third proportional to 594.94 and 856.94 is: 1,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.94 : 856.94 = 856.94 : x
  2. Step 2: Convert to fraction form
    594.94/856.94 = 856.94/x
  3. Step 3: Cross multiply
    594.94x = 856.94 × 856.94
  4. Step 4: Simplify right side
    594.94x = 734,341.88
  5. Step 5: Solve for x
    x = 734,341.88/594.94
  6. Step 6: Final answer
    x = 1,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.