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Finding the Third Proportional to 315.84 and 483.05

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Solution

The third proportional to 315.84 and 483.05 is: 738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 483.05 = 483.05 : x
  2. Step 2: Convert to fraction form
    315.84/483.05 = 483.05/x
  3. Step 3: Cross multiply
    315.84x = 483.05 × 483.05
  4. Step 4: Simplify right side
    315.84x = 233,334.28
  5. Step 5: Solve for x
    x = 233,334.28/315.84
  6. Step 6: Final answer
    x = 738.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.