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Finding the Third Proportional to 928.76 and 1,410.26

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Solution

The third proportional to 928.76 and 1,410.26 is: 2,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.76 : 1,410.26 = 1,410.26 : x
  2. Step 2: Convert to fraction form
    928.76/1,410.26 = 1,410.26/x
  3. Step 3: Cross multiply
    928.76x = 1,410.26 × 1,410.26
  4. Step 4: Simplify right side
    928.76x = 1,988,827.10
  5. Step 5: Solve for x
    x = 1,988,827.10/928.76
  6. Step 6: Final answer
    x = 2,141.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.