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Finding the Third Proportional to 296,758 and 641,036

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Solution

The third proportional to 296,758 and 641,036 is: 1,384,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,758 : 641,036 = 641,036 : x
  2. Step 2: Convert to fraction form
    296,758/641,036 = 641,036/x
  3. Step 3: Cross multiply
    296,758x = 641,036 × 641,036
  4. Step 4: Simplify right side
    296,758x = 410,927,153,296
  5. Step 5: Solve for x
    x = 410,927,153,296/296,758
  6. Step 6: Final answer
    x = 1,384,721.40

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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.