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Finding the Third Proportional to 269,948 and 590,739

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Solution

The third proportional to 269,948 and 590,739 is: 1,292,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,948 : 590,739 = 590,739 : x
  2. Step 2: Convert to fraction form
    269,948/590,739 = 590,739/x
  3. Step 3: Cross multiply
    269,948x = 590,739 × 590,739
  4. Step 4: Simplify right side
    269,948x = 348,972,566,121
  5. Step 5: Solve for x
    x = 348,972,566,121/269,948
  6. Step 6: Final answer
    x = 1,292,739.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.