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Finding the Third Proportional to 362,323.75 and 787,079.25

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Solution

The third proportional to 362,323.75 and 787,079.25 is: 1,709,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,323.75 : 787,079.25 = 787,079.25 : x
  2. Step 2: Convert to fraction form
    362,323.75/787,079.25 = 787,079.25/x
  3. Step 3: Cross multiply
    362,323.75x = 787,079.25 × 787,079.25
  4. Step 4: Simplify right side
    362,323.75x = 619,493,745,780.56
  5. Step 5: Solve for x
    x = 619,493,745,780.56/362,323.75
  6. Step 6: Final answer
    x = 1,709,779.57

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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.