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Finding the Third Proportional to 592.63 and 873.69

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Solution

The third proportional to 592.63 and 873.69 is: 1,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.63 : 873.69 = 873.69 : x
  2. Step 2: Convert to fraction form
    592.63/873.69 = 873.69/x
  3. Step 3: Cross multiply
    592.63x = 873.69 × 873.69
  4. Step 4: Simplify right side
    592.63x = 763,329.85
  5. Step 5: Solve for x
    x = 763,329.85/592.63
  6. Step 6: Final answer
    x = 1,288.05

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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.