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Finding the Third Proportional to 362,821 and 794,685

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Solution

The third proportional to 362,821 and 794,685 is: 1,740,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,821 : 794,685 = 794,685 : x
  2. Step 2: Convert to fraction form
    362,821/794,685 = 794,685/x
  3. Step 3: Cross multiply
    362,821x = 794,685 × 794,685
  4. Step 4: Simplify right side
    362,821x = 631,524,249,225
  5. Step 5: Solve for x
    x = 631,524,249,225/362,821
  6. Step 6: Final answer
    x = 1,740,594.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.