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Finding the Third Proportional to 368,764 and 804,272

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Solution

The third proportional to 368,764 and 804,272 is: 1,754,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,764 : 804,272 = 804,272 : x
  2. Step 2: Convert to fraction form
    368,764/804,272 = 804,272/x
  3. Step 3: Cross multiply
    368,764x = 804,272 × 804,272
  4. Step 4: Simplify right side
    368,764x = 646,853,449,984
  5. Step 5: Solve for x
    x = 646,853,449,984/368,764
  6. Step 6: Final answer
    x = 1,754,112.25

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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.