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Finding the Third Proportional to 352,116 and 760,344

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Solution

The third proportional to 352,116 and 760,344 is: 1,641,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,116 : 760,344 = 760,344 : x
  2. Step 2: Convert to fraction form
    352,116/760,344 = 760,344/x
  3. Step 3: Cross multiply
    352,116x = 760,344 × 760,344
  4. Step 4: Simplify right side
    352,116x = 578,122,998,336
  5. Step 5: Solve for x
    x = 578,122,998,336/352,116
  6. Step 6: Final answer
    x = 1,641,853.82

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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.