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Finding the Third Proportional to 596.74 and 1,056.80

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Solution

The third proportional to 596.74 and 1,056.80 is: 1,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 1,056.80 = 1,056.80 : x
  2. Step 2: Convert to fraction form
    596.74/1,056.80 = 1,056.80/x
  3. Step 3: Cross multiply
    596.74x = 1,056.80 × 1,056.80
  4. Step 4: Simplify right side
    596.74x = 1,116,819.64
  5. Step 5: Solve for x
    x = 1,116,819.64/596.74
  6. Step 6: Final answer
    x = 1,871.53

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.