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Finding the Third Proportional to 275,006.81 and 595,800.56

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Solution

The third proportional to 275,006.81 and 595,800.56 is: 1,290,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,006.81 : 595,800.56 = 595,800.56 : x
  2. Step 2: Convert to fraction form
    275,006.81/595,800.56 = 595,800.56/x
  3. Step 3: Cross multiply
    275,006.81x = 595,800.56 × 595,800.56
  4. Step 4: Simplify right side
    275,006.81x = 354,978,310,275.32
  5. Step 5: Solve for x
    x = 354,978,310,275.32/275,006.81
  6. Step 6: Final answer
    x = 1,290,798.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.