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Finding the Third Proportional to 269,958.66 and 590,765.06

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Solution

The third proportional to 269,958.66 and 590,765.06 is: 1,292,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,958.66 : 590,765.06 = 590,765.06 : x
  2. Step 2: Convert to fraction form
    269,958.66/590,765.06 = 590,765.06/x
  3. Step 3: Cross multiply
    269,958.66x = 590,765.06 × 590,765.06
  4. Step 4: Simplify right side
    269,958.66x = 349,003,359,070.63
  5. Step 5: Solve for x
    x = 349,003,359,070.63/269,958.66
  6. Step 6: Final answer
    x = 1,292,802.99

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