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Finding the Third Proportional to 573.48 and 886.15

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Solution

The third proportional to 573.48 and 886.15 is: 1,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 886.15 = 886.15 : x
  2. Step 2: Convert to fraction form
    573.48/886.15 = 886.15/x
  3. Step 3: Cross multiply
    573.48x = 886.15 × 886.15
  4. Step 4: Simplify right side
    573.48x = 785,259.05
  5. Step 5: Solve for x
    x = 785,259.05/573.48
  6. Step 6: Final answer
    x = 1,369.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.