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Finding the Third Proportional to 269,028 and 590,301

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Solution

The third proportional to 269,028 and 590,301 is: 1,295,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,028 : 590,301 = 590,301 : x
  2. Step 2: Convert to fraction form
    269,028/590,301 = 590,301/x
  3. Step 3: Cross multiply
    269,028x = 590,301 × 590,301
  4. Step 4: Simplify right side
    269,028x = 348,455,270,601
  5. Step 5: Solve for x
    x = 348,455,270,601/269,028
  6. Step 6: Final answer
    x = 1,295,237.93

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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.