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Finding the Third Proportional to 652.13 and 1,358.16

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Solution

The third proportional to 652.13 and 1,358.16 is: 2,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 1,358.16 = 1,358.16 : x
  2. Step 2: Convert to fraction form
    652.13/1,358.16 = 1,358.16/x
  3. Step 3: Cross multiply
    652.13x = 1,358.16 × 1,358.16
  4. Step 4: Simplify right side
    652.13x = 1,844,588.40
  5. Step 5: Solve for x
    x = 1,844,588.40/652.13
  6. Step 6: Final answer
    x = 2,828.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.