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Finding the Third Proportional to 273,552 and 590,832

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Solution

The third proportional to 273,552 and 590,832 is: 1,276,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,552 : 590,832 = 590,832 : x
  2. Step 2: Convert to fraction form
    273,552/590,832 = 590,832/x
  3. Step 3: Cross multiply
    273,552x = 590,832 × 590,832
  4. Step 4: Simplify right side
    273,552x = 349,082,452,224
  5. Step 5: Solve for x
    x = 349,082,452,224/273,552
  6. Step 6: Final answer
    x = 1,276,110.03

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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.