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Finding the Third Proportional to 368,791 and 804,603

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Solution

The third proportional to 368,791 and 804,603 is: 1,755,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,791 : 804,603 = 804,603 : x
  2. Step 2: Convert to fraction form
    368,791/804,603 = 804,603/x
  3. Step 3: Cross multiply
    368,791x = 804,603 × 804,603
  4. Step 4: Simplify right side
    368,791x = 647,385,987,609
  5. Step 5: Solve for x
    x = 647,385,987,609/368,791
  6. Step 6: Final answer
    x = 1,755,427.84

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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.