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Finding the Third Proportional to 369,106 and 804,916

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Solution

The third proportional to 369,106 and 804,916 is: 1,755,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,106 : 804,916 = 804,916 : x
  2. Step 2: Convert to fraction form
    369,106/804,916 = 804,916/x
  3. Step 3: Cross multiply
    369,106x = 804,916 × 804,916
  4. Step 4: Simplify right side
    369,106x = 647,889,767,056
  5. Step 5: Solve for x
    x = 647,889,767,056/369,106
  6. Step 6: Final answer
    x = 1,755,294.60

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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.