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Finding the Third Proportional to 270,013.50 and 590,895

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Solution

The third proportional to 270,013.50 and 590,895 is: 1,293,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,013.50 : 590,895 = 590,895 : x
  2. Step 2: Convert to fraction form
    270,013.50/590,895 = 590,895/x
  3. Step 3: Cross multiply
    270,013.50x = 590,895 × 590,895
  4. Step 4: Simplify right side
    270,013.50x = 349,156,901,025
  5. Step 5: Solve for x
    x = 349,156,901,025/270,013.50
  6. Step 6: Final answer
    x = 1,293,109.05

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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.