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Finding the Third Proportional to 368,744 and 804,230

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Solution

The third proportional to 368,744 and 804,230 is: 1,754,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,744 : 804,230 = 804,230 : x
  2. Step 2: Convert to fraction form
    368,744/804,230 = 804,230/x
  3. Step 3: Cross multiply
    368,744x = 804,230 × 804,230
  4. Step 4: Simplify right side
    368,744x = 646,785,892,900
  5. Step 5: Solve for x
    x = 646,785,892,900/368,744
  6. Step 6: Final answer
    x = 1,754,024.18

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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.