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Finding the Third Proportional to 505,145 and 799,730

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Solution

The third proportional to 505,145 and 799,730 is: 1,266,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,145 : 799,730 = 799,730 : x
  2. Step 2: Convert to fraction form
    505,145/799,730 = 799,730/x
  3. Step 3: Cross multiply
    505,145x = 799,730 × 799,730
  4. Step 4: Simplify right side
    505,145x = 639,568,072,900
  5. Step 5: Solve for x
    x = 639,568,072,900/505,145
  6. Step 6: Final answer
    x = 1,266,107.90

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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.