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Finding the Third Proportional to 285.88 and 448.94

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Solution

The third proportional to 285.88 and 448.94 is: 705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 448.94 = 448.94 : x
  2. Step 2: Convert to fraction form
    285.88/448.94 = 448.94/x
  3. Step 3: Cross multiply
    285.88x = 448.94 × 448.94
  4. Step 4: Simplify right side
    285.88x = 201,544.88
  5. Step 5: Solve for x
    x = 201,544.88/285.88
  6. Step 6: Final answer
    x = 705.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.