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Finding the Third Proportional to 273,500 and 590,740

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Solution

The third proportional to 273,500 and 590,740 is: 1,275,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,500 : 590,740 = 590,740 : x
  2. Step 2: Convert to fraction form
    273,500/590,740 = 590,740/x
  3. Step 3: Cross multiply
    273,500x = 590,740 × 590,740
  4. Step 4: Simplify right side
    273,500x = 348,973,747,600
  5. Step 5: Solve for x
    x = 348,973,747,600/273,500
  6. Step 6: Final answer
    x = 1,275,955.20

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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.