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Finding the Third Proportional to 273,240 and 560,088

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Solution

The third proportional to 273,240 and 560,088 is: 1,148,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,240 : 560,088 = 560,088 : x
  2. Step 2: Convert to fraction form
    273,240/560,088 = 560,088/x
  3. Step 3: Cross multiply
    273,240x = 560,088 × 560,088
  4. Step 4: Simplify right side
    273,240x = 313,698,567,744
  5. Step 5: Solve for x
    x = 313,698,567,744/273,240
  6. Step 6: Final answer
    x = 1,148,069.71

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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.