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Finding the Third Proportional to 236,362 and 518,646

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Solution

The third proportional to 236,362 and 518,646 is: 1,138,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,362 : 518,646 = 518,646 : x
  2. Step 2: Convert to fraction form
    236,362/518,646 = 518,646/x
  3. Step 3: Cross multiply
    236,362x = 518,646 × 518,646
  4. Step 4: Simplify right side
    236,362x = 268,993,673,316
  5. Step 5: Solve for x
    x = 268,993,673,316/236,362
  6. Step 6: Final answer
    x = 1,138,058.04

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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.