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Finding the Third Proportional to 661.88 and 1,526.44

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Solution

The third proportional to 661.88 and 1,526.44 is: 3,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 1,526.44 = 1,526.44 : x
  2. Step 2: Convert to fraction form
    661.88/1,526.44 = 1,526.44/x
  3. Step 3: Cross multiply
    661.88x = 1,526.44 × 1,526.44
  4. Step 4: Simplify right side
    661.88x = 2,330,011.44
  5. Step 5: Solve for x
    x = 2,330,011.44/661.88
  6. Step 6: Final answer
    x = 3,520.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.