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Finding the Third Proportional to 448.75 and 693.50

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Solution

The third proportional to 448.75 and 693.50 is: 1,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.75 : 693.50 = 693.50 : x
  2. Step 2: Convert to fraction form
    448.75/693.50 = 693.50/x
  3. Step 3: Cross multiply
    448.75x = 693.50 × 693.50
  4. Step 4: Simplify right side
    448.75x = 480,942.25
  5. Step 5: Solve for x
    x = 480,942.25/448.75
  6. Step 6: Final answer
    x = 1,071.74

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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.