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Finding the Third Proportional to 661.50 and 1,031.63

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Solution

The third proportional to 661.50 and 1,031.63 is: 1,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 1,031.63 = 1,031.63 : x
  2. Step 2: Convert to fraction form
    661.50/1,031.63 = 1,031.63/x
  3. Step 3: Cross multiply
    661.50x = 1,031.63 × 1,031.63
  4. Step 4: Simplify right side
    661.50x = 1,064,250.14
  5. Step 5: Solve for x
    x = 1,064,250.14/661.50
  6. Step 6: Final answer
    x = 1,608.84

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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.