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Finding the Third Proportional to 368,842 and 809,108

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Solution

The third proportional to 368,842 and 809,108 is: 1,774,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,842 : 809,108 = 809,108 : x
  2. Step 2: Convert to fraction form
    368,842/809,108 = 809,108/x
  3. Step 3: Cross multiply
    368,842x = 809,108 × 809,108
  4. Step 4: Simplify right side
    368,842x = 654,655,755,664
  5. Step 5: Solve for x
    x = 654,655,755,664/368,842
  6. Step 6: Final answer
    x = 1,774,894.82

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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.