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Finding the Third Proportional to 362,337 and 787,104

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Solution

The third proportional to 362,337 and 787,104 is: 1,709,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,337 : 787,104 = 787,104 : x
  2. Step 2: Convert to fraction form
    362,337/787,104 = 787,104/x
  3. Step 3: Cross multiply
    362,337x = 787,104 × 787,104
  4. Step 4: Simplify right side
    362,337x = 619,532,706,816
  5. Step 5: Solve for x
    x = 619,532,706,816/362,337
  6. Step 6: Final answer
    x = 1,709,824.57

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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.