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Finding the Third Proportional to 275,833.88 and 595,211.63

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Solution

The third proportional to 275,833.88 and 595,211.63 is: 1,284,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,833.88 : 595,211.63 = 595,211.63 : x
  2. Step 2: Convert to fraction form
    275,833.88/595,211.63 = 595,211.63/x
  3. Step 3: Cross multiply
    275,833.88x = 595,211.63 × 595,211.63
  4. Step 4: Simplify right side
    275,833.88x = 354,276,878,535.14
  5. Step 5: Solve for x
    x = 354,276,878,535.14/275,833.88
  6. Step 6: Final answer
    x = 1,284,384.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.