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Finding the Third Proportional to 505,813 and 762,060.75

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Solution

The third proportional to 505,813 and 762,060.75 is: 1,148,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,813 : 762,060.75 = 762,060.75 : x
  2. Step 2: Convert to fraction form
    505,813/762,060.75 = 762,060.75/x
  3. Step 3: Cross multiply
    505,813x = 762,060.75 × 762,060.75
  4. Step 4: Simplify right side
    505,813x = 580,736,586,690.56
  5. Step 5: Solve for x
    x = 580,736,586,690.56/505,813
  6. Step 6: Final answer
    x = 1,148,125.07

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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.