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Finding the Third Proportional to 303,831 and 654,764

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Solution

The third proportional to 303,831 and 654,764 is: 1,411,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,831 : 654,764 = 654,764 : x
  2. Step 2: Convert to fraction form
    303,831/654,764 = 654,764/x
  3. Step 3: Cross multiply
    303,831x = 654,764 × 654,764
  4. Step 4: Simplify right side
    303,831x = 428,715,895,696
  5. Step 5: Solve for x
    x = 428,715,895,696/303,831
  6. Step 6: Final answer
    x = 1,411,034.08

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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.