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Finding the Third Proportional to 305.34 and 473.34

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Solution

The third proportional to 305.34 and 473.34 is: 733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 473.34 = 473.34 : x
  2. Step 2: Convert to fraction form
    305.34/473.34 = 473.34/x
  3. Step 3: Cross multiply
    305.34x = 473.34 × 473.34
  4. Step 4: Simplify right side
    305.34x = 224,054.31
  5. Step 5: Solve for x
    x = 224,054.31/305.34
  6. Step 6: Final answer
    x = 733.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.