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Finding the Third Proportional to 352,050.47 and 760,223.81

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Solution

The third proportional to 352,050.47 and 760,223.81 is: 1,641,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,050.47 : 760,223.81 = 760,223.81 : x
  2. Step 2: Convert to fraction form
    352,050.47/760,223.81 = 760,223.81/x
  3. Step 3: Cross multiply
    352,050.47x = 760,223.81 × 760,223.81
  4. Step 4: Simplify right side
    352,050.47x = 577,940,245,092.04
  5. Step 5: Solve for x
    x = 577,940,245,092.04/352,050.47
  6. Step 6: Final answer
    x = 1,641,640.32

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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.