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Finding the Third Proportional to 259,048.50 and 610,642.50

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Solution

The third proportional to 259,048.50 and 610,642.50 is: 1,439,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,048.50 : 610,642.50 = 610,642.50 : x
  2. Step 2: Convert to fraction form
    259,048.50/610,642.50 = 610,642.50/x
  3. Step 3: Cross multiply
    259,048.50x = 610,642.50 × 610,642.50
  4. Step 4: Simplify right side
    259,048.50x = 372,884,262,806.25
  5. Step 5: Solve for x
    x = 372,884,262,806.25/259,048.50
  6. Step 6: Final answer
    x = 1,439,438.03

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.