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Finding the Third Proportional to 653.75 and 1,401.75

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Solution

The third proportional to 653.75 and 1,401.75 is: 3,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.75 : 1,401.75 = 1,401.75 : x
  2. Step 2: Convert to fraction form
    653.75/1,401.75 = 1,401.75/x
  3. Step 3: Cross multiply
    653.75x = 1,401.75 × 1,401.75
  4. Step 4: Simplify right side
    653.75x = 1,964,903.06
  5. Step 5: Solve for x
    x = 1,964,903.06/653.75
  6. Step 6: Final answer
    x = 3,005.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.