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Finding the Third Proportional to 273,499.50 and 590,739

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Solution

The third proportional to 273,499.50 and 590,739 is: 1,275,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,499.50 : 590,739 = 590,739 : x
  2. Step 2: Convert to fraction form
    273,499.50/590,739 = 590,739/x
  3. Step 3: Cross multiply
    273,499.50x = 590,739 × 590,739
  4. Step 4: Simplify right side
    273,499.50x = 348,972,566,121
  5. Step 5: Solve for x
    x = 348,972,566,121/273,499.50
  6. Step 6: Final answer
    x = 1,275,953.21

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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.