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Finding the Third Proportional to 372,620 and 804,260

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Solution

The third proportional to 372,620 and 804,260 is: 1,735,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,620 : 804,260 = 804,260 : x
  2. Step 2: Convert to fraction form
    372,620/804,260 = 804,260/x
  3. Step 3: Cross multiply
    372,620x = 804,260 × 804,260
  4. Step 4: Simplify right side
    372,620x = 646,834,147,600
  5. Step 5: Solve for x
    x = 646,834,147,600/372,620
  6. Step 6: Final answer
    x = 1,735,908.29

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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.