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Finding the Third Proportional to 275,610 and 595,284

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Solution

The third proportional to 275,610 and 595,284 is: 1,285,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,610 : 595,284 = 595,284 : x
  2. Step 2: Convert to fraction form
    275,610/595,284 = 595,284/x
  3. Step 3: Cross multiply
    275,610x = 595,284 × 595,284
  4. Step 4: Simplify right side
    275,610x = 354,363,040,656
  5. Step 5: Solve for x
    x = 354,363,040,656/275,610
  6. Step 6: Final answer
    x = 1,285,740.87

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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.