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Finding the Third Proportional to 505,864 and 762,132

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Solution

The third proportional to 505,864 and 762,132 is: 1,148,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,864 : 762,132 = 762,132 : x
  2. Step 2: Convert to fraction form
    505,864/762,132 = 762,132/x
  3. Step 3: Cross multiply
    505,864x = 762,132 × 762,132
  4. Step 4: Simplify right side
    505,864x = 580,845,185,424
  5. Step 5: Solve for x
    x = 580,845,185,424/505,864
  6. Step 6: Final answer
    x = 1,148,224.00

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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.