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Finding the Third Proportional to 653.34 and 1,398.09

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Solution

The third proportional to 653.34 and 1,398.09 is: 2,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.34 : 1,398.09 = 1,398.09 : x
  2. Step 2: Convert to fraction form
    653.34/1,398.09 = 1,398.09/x
  3. Step 3: Cross multiply
    653.34x = 1,398.09 × 1,398.09
  4. Step 4: Simplify right side
    653.34x = 1,954,666.13
  5. Step 5: Solve for x
    x = 1,954,666.13/653.34
  6. Step 6: Final answer
    x = 2,991.79

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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.