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Finding the Third Proportional to 294.63 and 634.63

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Solution

The third proportional to 294.63 and 634.63 is: 1,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.63 : 634.63 = 634.63 : x
  2. Step 2: Convert to fraction form
    294.63/634.63 = 634.63/x
  3. Step 3: Cross multiply
    294.63x = 634.63 × 634.63
  4. Step 4: Simplify right side
    294.63x = 402,748.89
  5. Step 5: Solve for x
    x = 402,748.89/294.63
  6. Step 6: Final answer
    x = 1,366.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.