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Finding the Third Proportional to 601.38 and 1,302.88

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Solution

The third proportional to 601.38 and 1,302.88 is: 2,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 1,302.88 = 1,302.88 : x
  2. Step 2: Convert to fraction form
    601.38/1,302.88 = 1,302.88/x
  3. Step 3: Cross multiply
    601.38x = 1,302.88 × 1,302.88
  4. Step 4: Simplify right side
    601.38x = 1,697,483.27
  5. Step 5: Solve for x
    x = 1,697,483.27/601.38
  6. Step 6: Final answer
    x = 2,822.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.