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Finding the Third Proportional to 504.64 and 1,086.58

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Solution

The third proportional to 504.64 and 1,086.58 is: 2,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.64 : 1,086.58 = 1,086.58 : x
  2. Step 2: Convert to fraction form
    504.64/1,086.58 = 1,086.58/x
  3. Step 3: Cross multiply
    504.64x = 1,086.58 × 1,086.58
  4. Step 4: Simplify right side
    504.64x = 1,180,652.02
  5. Step 5: Solve for x
    x = 1,180,652.02/504.64
  6. Step 6: Final answer
    x = 2,339.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.