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Finding the Third Proportional to 352,102 and 760,314

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Solution

The third proportional to 352,102 and 760,314 is: 1,641,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,102 : 760,314 = 760,314 : x
  2. Step 2: Convert to fraction form
    352,102/760,314 = 760,314/x
  3. Step 3: Cross multiply
    352,102x = 760,314 × 760,314
  4. Step 4: Simplify right side
    352,102x = 578,077,378,596
  5. Step 5: Solve for x
    x = 578,077,378,596/352,102
  6. Step 6: Final answer
    x = 1,641,789.53

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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.