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Finding the Third Proportional to 505,854 and 762,120

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Solution

The third proportional to 505,854 and 762,120 is: 1,148,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,854 : 762,120 = 762,120 : x
  2. Step 2: Convert to fraction form
    505,854/762,120 = 762,120/x
  3. Step 3: Cross multiply
    505,854x = 762,120 × 762,120
  4. Step 4: Simplify right side
    505,854x = 580,826,894,400
  5. Step 5: Solve for x
    x = 580,826,894,400/505,854
  6. Step 6: Final answer
    x = 1,148,210.54

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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.