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Finding the Third Proportional to 505,872 and 762,129

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Solution

The third proportional to 505,872 and 762,129 is: 1,148,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,872 : 762,129 = 762,129 : x
  2. Step 2: Convert to fraction form
    505,872/762,129 = 762,129/x
  3. Step 3: Cross multiply
    505,872x = 762,129 × 762,129
  4. Step 4: Simplify right side
    505,872x = 580,840,612,641
  5. Step 5: Solve for x
    x = 580,840,612,641/505,872
  6. Step 6: Final answer
    x = 1,148,196.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.