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Finding the Third Proportional to 369,198 and 805,092

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Solution

The third proportional to 369,198 and 805,092 is: 1,755,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,198 : 805,092 = 805,092 : x
  2. Step 2: Convert to fraction form
    369,198/805,092 = 805,092/x
  3. Step 3: Cross multiply
    369,198x = 805,092 × 805,092
  4. Step 4: Simplify right side
    369,198x = 648,173,128,464
  5. Step 5: Solve for x
    x = 648,173,128,464/369,198
  6. Step 6: Final answer
    x = 1,755,624.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.