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Finding the Third Proportional to 265.78 and 702.42

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Solution

The third proportional to 265.78 and 702.42 is: 1,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 702.42 = 702.42 : x
  2. Step 2: Convert to fraction form
    265.78/702.42 = 702.42/x
  3. Step 3: Cross multiply
    265.78x = 702.42 × 702.42
  4. Step 4: Simplify right side
    265.78x = 493,396.49
  5. Step 5: Solve for x
    x = 493,396.49/265.78
  6. Step 6: Final answer
    x = 1,856.40

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.