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Finding the Third Proportional to 362,065 and 795,500

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Solution

The third proportional to 362,065 and 795,500 is: 1,747,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,065 : 795,500 = 795,500 : x
  2. Step 2: Convert to fraction form
    362,065/795,500 = 795,500/x
  3. Step 3: Cross multiply
    362,065x = 795,500 × 795,500
  4. Step 4: Simplify right side
    362,065x = 632,820,250,000
  5. Step 5: Solve for x
    x = 632,820,250,000/362,065
  6. Step 6: Final answer
    x = 1,747,808.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.