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Finding the Third Proportional to 372,744 and 804,510

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Solution

The third proportional to 372,744 and 804,510 is: 1,736,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,744 : 804,510 = 804,510 : x
  2. Step 2: Convert to fraction form
    372,744/804,510 = 804,510/x
  3. Step 3: Cross multiply
    372,744x = 804,510 × 804,510
  4. Step 4: Simplify right side
    372,744x = 647,236,340,100
  5. Step 5: Solve for x
    x = 647,236,340,100/372,744
  6. Step 6: Final answer
    x = 1,736,409.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.