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Finding the Third Proportional to 273,524 and 414,062

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Solution

The third proportional to 273,524 and 414,062 is: 626,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,524 : 414,062 = 414,062 : x
  2. Step 2: Convert to fraction form
    273,524/414,062 = 414,062/x
  3. Step 3: Cross multiply
    273,524x = 414,062 × 414,062
  4. Step 4: Simplify right side
    273,524x = 171,447,339,844
  5. Step 5: Solve for x
    x = 171,447,339,844/273,524
  6. Step 6: Final answer
    x = 626,809.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.