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Finding the Third Proportional to 352,090 and 760,305

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Solution

The third proportional to 352,090 and 760,305 is: 1,641,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,090 : 760,305 = 760,305 : x
  2. Step 2: Convert to fraction form
    352,090/760,305 = 760,305/x
  3. Step 3: Cross multiply
    352,090x = 760,305 × 760,305
  4. Step 4: Simplify right side
    352,090x = 578,063,693,025
  5. Step 5: Solve for x
    x = 578,063,693,025/352,090
  6. Step 6: Final answer
    x = 1,641,806.62

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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.