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Finding the Third Proportional to 294 and 781

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Solution

The third proportional to 294 and 781 is: 2,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 781 = 781 : x
  2. Step 2: Convert to fraction form
    294/781 = 781/x
  3. Step 3: Cross multiply
    294x = 781 × 781
  4. Step 4: Simplify right side
    294x = 609,961
  5. Step 5: Solve for x
    x = 609,961/294
  6. Step 6: Final answer
    x = 2,074.70

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These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.