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Finding the Third Proportional to 273,542.25 and 439,504.13

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Solution

The third proportional to 273,542.25 and 439,504.13 is: 706,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,542.25 : 439,504.13 = 439,504.13 : x
  2. Step 2: Convert to fraction form
    273,542.25/439,504.13 = 439,504.13/x
  3. Step 3: Cross multiply
    273,542.25x = 439,504.13 × 439,504.13
  4. Step 4: Simplify right side
    273,542.25x = 193,163,875,892.02
  5. Step 5: Solve for x
    x = 193,163,875,892.02/273,542.25
  6. Step 6: Final answer
    x = 706,157.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.