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Finding the Third Proportional to 362,205 and 791,720

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Solution

The third proportional to 362,205 and 791,720 is: 1,730,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,205 : 791,720 = 791,720 : x
  2. Step 2: Convert to fraction form
    362,205/791,720 = 791,720/x
  3. Step 3: Cross multiply
    362,205x = 791,720 × 791,720
  4. Step 4: Simplify right side
    362,205x = 626,820,558,400
  5. Step 5: Solve for x
    x = 626,820,558,400/362,205
  6. Step 6: Final answer
    x = 1,730,568.49

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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.