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Finding the Third Proportional to 372,718 and 804,450

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Solution

The third proportional to 372,718 and 804,450 is: 1,736,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,718 : 804,450 = 804,450 : x
  2. Step 2: Convert to fraction form
    372,718/804,450 = 804,450/x
  3. Step 3: Cross multiply
    372,718x = 804,450 × 804,450
  4. Step 4: Simplify right side
    372,718x = 647,139,802,500
  5. Step 5: Solve for x
    x = 647,139,802,500/372,718
  6. Step 6: Final answer
    x = 1,736,271.93

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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.