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Finding the Third Proportional to 505,141 and 799,723

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Solution

The third proportional to 505,141 and 799,723 is: 1,266,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,141 : 799,723 = 799,723 : x
  2. Step 2: Convert to fraction form
    505,141/799,723 = 799,723/x
  3. Step 3: Cross multiply
    505,141x = 799,723 × 799,723
  4. Step 4: Simplify right side
    505,141x = 639,556,876,729
  5. Step 5: Solve for x
    x = 639,556,876,729/505,141
  6. Step 6: Final answer
    x = 1,266,095.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.