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Finding the Third Proportional to 556.88 and 1,214.16

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Solution

The third proportional to 556.88 and 1,214.16 is: 2,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.88 : 1,214.16 = 1,214.16 : x
  2. Step 2: Convert to fraction form
    556.88/1,214.16 = 1,214.16/x
  3. Step 3: Cross multiply
    556.88x = 1,214.16 × 1,214.16
  4. Step 4: Simplify right side
    556.88x = 1,474,175.40
  5. Step 5: Solve for x
    x = 1,474,175.40/556.88
  6. Step 6: Final answer
    x = 2,647.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.