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Finding the Third Proportional to 594.84 and 872.86

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Solution

The third proportional to 594.84 and 872.86 is: 1,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 872.86 = 872.86 : x
  2. Step 2: Convert to fraction form
    594.84/872.86 = 872.86/x
  3. Step 3: Cross multiply
    594.84x = 872.86 × 872.86
  4. Step 4: Simplify right side
    594.84x = 761,883.49
  5. Step 5: Solve for x
    x = 761,883.49/594.84
  6. Step 6: Final answer
    x = 1,280.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.