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Finding the Third Proportional to 234,588 and 511,518

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Solution

The third proportional to 234,588 and 511,518 is: 1,115,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,588 : 511,518 = 511,518 : x
  2. Step 2: Convert to fraction form
    234,588/511,518 = 511,518/x
  3. Step 3: Cross multiply
    234,588x = 511,518 × 511,518
  4. Step 4: Simplify right side
    234,588x = 261,650,664,324
  5. Step 5: Solve for x
    x = 261,650,664,324/234,588
  6. Step 6: Final answer
    x = 1,115,362.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.