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Finding the Third Proportional to 369,112 and 804,926

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Solution

The third proportional to 369,112 and 804,926 is: 1,755,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,112 : 804,926 = 804,926 : x
  2. Step 2: Convert to fraction form
    369,112/804,926 = 804,926/x
  3. Step 3: Cross multiply
    369,112x = 804,926 × 804,926
  4. Step 4: Simplify right side
    369,112x = 647,905,865,476
  5. Step 5: Solve for x
    x = 647,905,865,476/369,112
  6. Step 6: Final answer
    x = 1,755,309.68

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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.