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Finding the Third Proportional to 653.27 and 1,395.14

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Solution

The third proportional to 653.27 and 1,395.14 is: 2,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.27 : 1,395.14 = 1,395.14 : x
  2. Step 2: Convert to fraction form
    653.27/1,395.14 = 1,395.14/x
  3. Step 3: Cross multiply
    653.27x = 1,395.14 × 1,395.14
  4. Step 4: Simplify right side
    653.27x = 1,946,417.36
  5. Step 5: Solve for x
    x = 1,946,417.36/653.27
  6. Step 6: Final answer
    x = 2,979.48

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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.