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Finding the Third Proportional to 273,054 and 559,716

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Solution

The third proportional to 273,054 and 559,716 is: 1,147,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,054 : 559,716 = 559,716 : x
  2. Step 2: Convert to fraction form
    273,054/559,716 = 559,716/x
  3. Step 3: Cross multiply
    273,054x = 559,716 × 559,716
  4. Step 4: Simplify right side
    273,054x = 313,282,000,656
  5. Step 5: Solve for x
    x = 313,282,000,656/273,054
  6. Step 6: Final answer
    x = 1,147,326.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.