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Finding the Third Proportional to 236,303 and 518,533

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Solution

The third proportional to 236,303 and 518,533 is: 1,137,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,303 : 518,533 = 518,533 : x
  2. Step 2: Convert to fraction form
    236,303/518,533 = 518,533/x
  3. Step 3: Cross multiply
    236,303x = 518,533 × 518,533
  4. Step 4: Simplify right side
    236,303x = 268,876,472,089
  5. Step 5: Solve for x
    x = 268,876,472,089/236,303
  6. Step 6: Final answer
    x = 1,137,846.21

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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.