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Finding the Third Proportional to 446.25 and 846.94

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Solution

The third proportional to 446.25 and 846.94 is: 1,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.25 : 846.94 = 846.94 : x
  2. Step 2: Convert to fraction form
    446.25/846.94 = 846.94/x
  3. Step 3: Cross multiply
    446.25x = 846.94 × 846.94
  4. Step 4: Simplify right side
    446.25x = 717,303.13
  5. Step 5: Solve for x
    x = 717,303.13/446.25
  6. Step 6: Final answer
    x = 1,607.40

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.