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Finding the Third Proportional to 352,104 and 760,326

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Solution

The third proportional to 352,104 and 760,326 is: 1,641,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,104 : 760,326 = 760,326 : x
  2. Step 2: Convert to fraction form
    352,104/760,326 = 760,326/x
  3. Step 3: Cross multiply
    352,104x = 760,326 × 760,326
  4. Step 4: Simplify right side
    352,104x = 578,095,626,276
  5. Step 5: Solve for x
    x = 578,095,626,276/352,104
  6. Step 6: Final answer
    x = 1,641,832.03

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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.