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Finding the Third Proportional to 236,424 and 518,784

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Solution

The third proportional to 236,424 and 518,784 is: 1,138,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,424 : 518,784 = 518,784 : x
  2. Step 2: Convert to fraction form
    236,424/518,784 = 518,784/x
  3. Step 3: Cross multiply
    236,424x = 518,784 × 518,784
  4. Step 4: Simplify right side
    236,424x = 269,136,838,656
  5. Step 5: Solve for x
    x = 269,136,838,656/236,424
  6. Step 6: Final answer
    x = 1,138,365.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.