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Finding the Third Proportional to 362,203 and 791,716

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Solution

The third proportional to 362,203 and 791,716 is: 1,730,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,203 : 791,716 = 791,716 : x
  2. Step 2: Convert to fraction form
    362,203/791,716 = 791,716/x
  3. Step 3: Cross multiply
    362,203x = 791,716 × 791,716
  4. Step 4: Simplify right side
    362,203x = 626,814,224,656
  5. Step 5: Solve for x
    x = 626,814,224,656/362,203
  6. Step 6: Final answer
    x = 1,730,560.55

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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.