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Finding the Third Proportional to 236,859.50 and 518,006

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Solution

The third proportional to 236,859.50 and 518,006 is: 1,132,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,859.50 : 518,006 = 518,006 : x
  2. Step 2: Convert to fraction form
    236,859.50/518,006 = 518,006/x
  3. Step 3: Cross multiply
    236,859.50x = 518,006 × 518,006
  4. Step 4: Simplify right side
    236,859.50x = 268,330,216,036
  5. Step 5: Solve for x
    x = 268,330,216,036/236,859.50
  6. Step 6: Final answer
    x = 1,132,866.60

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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.