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Finding the Third Proportional to 275,437.50 and 591,051

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Solution

The third proportional to 275,437.50 and 591,051 is: 1,268,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,437.50 : 591,051 = 591,051 : x
  2. Step 2: Convert to fraction form
    275,437.50/591,051 = 591,051/x
  3. Step 3: Cross multiply
    275,437.50x = 591,051 × 591,051
  4. Step 4: Simplify right side
    275,437.50x = 349,341,284,601
  5. Step 5: Solve for x
    x = 349,341,284,601/275,437.50
  6. Step 6: Final answer
    x = 1,268,314.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.