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Finding the Third Proportional to 736.08 and 1,031.60

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Solution

The third proportional to 736.08 and 1,031.60 is: 1,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.08 : 1,031.60 = 1,031.60 : x
  2. Step 2: Convert to fraction form
    736.08/1,031.60 = 1,031.60/x
  3. Step 3: Cross multiply
    736.08x = 1,031.60 × 1,031.60
  4. Step 4: Simplify right side
    736.08x = 1,064,201.78
  5. Step 5: Solve for x
    x = 1,064,201.78/736.08
  6. Step 6: Final answer
    x = 1,445.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.