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Finding the Third Proportional to 362,779 and 787,699

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Solution

The third proportional to 362,779 and 787,699 is: 1,710,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,779 : 787,699 = 787,699 : x
  2. Step 2: Convert to fraction form
    362,779/787,699 = 787,699/x
  3. Step 3: Cross multiply
    362,779x = 787,699 × 787,699
  4. Step 4: Simplify right side
    362,779x = 620,469,714,601
  5. Step 5: Solve for x
    x = 620,469,714,601/362,779
  6. Step 6: Final answer
    x = 1,710,324.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.