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Finding the Third Proportional to 273,004 and 590,392

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Solution

The third proportional to 273,004 and 590,392 is: 1,276,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,004 : 590,392 = 590,392 : x
  2. Step 2: Convert to fraction form
    273,004/590,392 = 590,392/x
  3. Step 3: Cross multiply
    273,004x = 590,392 × 590,392
  4. Step 4: Simplify right side
    273,004x = 348,562,713,664
  5. Step 5: Solve for x
    x = 348,562,713,664/273,004
  6. Step 6: Final answer
    x = 1,276,767.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.