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Finding the Third Proportional to 653.34 and 1,409.27

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Solution

The third proportional to 653.34 and 1,409.27 is: 3,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.34 : 1,409.27 = 1,409.27 : x
  2. Step 2: Convert to fraction form
    653.34/1,409.27 = 1,409.27/x
  3. Step 3: Cross multiply
    653.34x = 1,409.27 × 1,409.27
  4. Step 4: Simplify right side
    653.34x = 1,986,051.62
  5. Step 5: Solve for x
    x = 1,986,051.62/653.34
  6. Step 6: Final answer
    x = 3,039.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.