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Finding the Third Proportional to 982.76 and 1,528.88

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Solution

The third proportional to 982.76 and 1,528.88 is: 2,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.76 : 1,528.88 = 1,528.88 : x
  2. Step 2: Convert to fraction form
    982.76/1,528.88 = 1,528.88/x
  3. Step 3: Cross multiply
    982.76x = 1,528.88 × 1,528.88
  4. Step 4: Simplify right side
    982.76x = 2,337,458.77
  5. Step 5: Solve for x
    x = 2,337,458.77/982.76
  6. Step 6: Final answer
    x = 2,378.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.