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Finding the Third Proportional to 518,802 and 952,356

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Solution

The third proportional to 518,802 and 952,356 is: 1,748,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,802 : 952,356 = 952,356 : x
  2. Step 2: Convert to fraction form
    518,802/952,356 = 952,356/x
  3. Step 3: Cross multiply
    518,802x = 952,356 × 952,356
  4. Step 4: Simplify right side
    518,802x = 906,981,950,736
  5. Step 5: Solve for x
    x = 906,981,950,736/518,802
  6. Step 6: Final answer
    x = 1,748,223.70

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.