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Finding the Third Proportional to 702.79 and 1,059.60

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Solution

The third proportional to 702.79 and 1,059.60 is: 1,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.79 : 1,059.60 = 1,059.60 : x
  2. Step 2: Convert to fraction form
    702.79/1,059.60 = 1,059.60/x
  3. Step 3: Cross multiply
    702.79x = 1,059.60 × 1,059.60
  4. Step 4: Simplify right side
    702.79x = 1,122,741.76
  5. Step 5: Solve for x
    x = 1,122,741.76/702.79
  6. Step 6: Final answer
    x = 1,597.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.