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Finding the Third Proportional to 655.44 and 1,417.18

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Solution

The third proportional to 655.44 and 1,417.18 is: 3,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.44 : 1,417.18 = 1,417.18 : x
  2. Step 2: Convert to fraction form
    655.44/1,417.18 = 1,417.18/x
  3. Step 3: Cross multiply
    655.44x = 1,417.18 × 1,417.18
  4. Step 4: Simplify right side
    655.44x = 2,008,409.34
  5. Step 5: Solve for x
    x = 2,008,409.34/655.44
  6. Step 6: Final answer
    x = 3,064.24

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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.