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Finding the Third Proportional to 367,090 and 812,790

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Solution

The third proportional to 367,090 and 812,790 is: 1,799,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,090 : 812,790 = 812,790 : x
  2. Step 2: Convert to fraction form
    367,090/812,790 = 812,790/x
  3. Step 3: Cross multiply
    367,090x = 812,790 × 812,790
  4. Step 4: Simplify right side
    367,090x = 660,627,584,100
  5. Step 5: Solve for x
    x = 660,627,584,100/367,090
  6. Step 6: Final answer
    x = 1,799,633.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.