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Finding the Third Proportional to 270,028.88 and 590,913.75

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Solution

The third proportional to 270,028.88 and 590,913.75 is: 1,293,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,028.88 : 590,913.75 = 590,913.75 : x
  2. Step 2: Convert to fraction form
    270,028.88/590,913.75 = 590,913.75/x
  3. Step 3: Cross multiply
    270,028.88x = 590,913.75 × 590,913.75
  4. Step 4: Simplify right side
    270,028.88x = 349,179,059,939.06
  5. Step 5: Solve for x
    x = 349,179,059,939.06/270,028.88
  6. Step 6: Final answer
    x = 1,293,117.49

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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.