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Finding the Third Proportional to 352,054 and 760,232

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Solution

The third proportional to 352,054 and 760,232 is: 1,641,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,054 : 760,232 = 760,232 : x
  2. Step 2: Convert to fraction form
    352,054/760,232 = 760,232/x
  3. Step 3: Cross multiply
    352,054x = 760,232 × 760,232
  4. Step 4: Simplify right side
    352,054x = 577,952,693,824
  5. Step 5: Solve for x
    x = 577,952,693,824/352,054
  6. Step 6: Final answer
    x = 1,641,659.22

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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.