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Finding the Third Proportional to 573.13 and 1,214.88

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Solution

The third proportional to 573.13 and 1,214.88 is: 2,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.13 : 1,214.88 = 1,214.88 : x
  2. Step 2: Convert to fraction form
    573.13/1,214.88 = 1,214.88/x
  3. Step 3: Cross multiply
    573.13x = 1,214.88 × 1,214.88
  4. Step 4: Simplify right side
    573.13x = 1,475,921.27
  5. Step 5: Solve for x
    x = 1,475,921.27/573.13
  6. Step 6: Final answer
    x = 2,575.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.