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Finding the Third Proportional to 369,105 and 804,914

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Solution

The third proportional to 369,105 and 804,914 is: 1,755,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,105 : 804,914 = 804,914 : x
  2. Step 2: Convert to fraction form
    369,105/804,914 = 804,914/x
  3. Step 3: Cross multiply
    369,105x = 804,914 × 804,914
  4. Step 4: Simplify right side
    369,105x = 647,886,547,396
  5. Step 5: Solve for x
    x = 647,886,547,396/369,105
  6. Step 6: Final answer
    x = 1,755,290.63

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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.