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Finding the Third Proportional to 294.05 and 631.55

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Solution

The third proportional to 294.05 and 631.55 is: 1,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.05 : 631.55 = 631.55 : x
  2. Step 2: Convert to fraction form
    294.05/631.55 = 631.55/x
  3. Step 3: Cross multiply
    294.05x = 631.55 × 631.55
  4. Step 4: Simplify right side
    294.05x = 398,851.46
  5. Step 5: Solve for x
    x = 398,851.46/294.05
  6. Step 6: Final answer
    x = 1,356.42

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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.