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Finding the Third Proportional to 236,455 and 518,897

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Solution

The third proportional to 236,455 and 518,897 is: 1,138,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,455 : 518,897 = 518,897 : x
  2. Step 2: Convert to fraction form
    236,455/518,897 = 518,897/x
  3. Step 3: Cross multiply
    236,455x = 518,897 × 518,897
  4. Step 4: Simplify right side
    236,455x = 269,254,096,609
  5. Step 5: Solve for x
    x = 269,254,096,609/236,455
  6. Step 6: Final answer
    x = 1,138,711.79

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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.