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Finding the Third Proportional to 289,642.50 and 605,751.75

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Solution

The third proportional to 289,642.50 and 605,751.75 is: 1,266,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642.50 : 605,751.75 = 605,751.75 : x
  2. Step 2: Convert to fraction form
    289,642.50/605,751.75 = 605,751.75/x
  3. Step 3: Cross multiply
    289,642.50x = 605,751.75 × 605,751.75
  4. Step 4: Simplify right side
    289,642.50x = 366,935,182,628.06
  5. Step 5: Solve for x
    x = 366,935,182,628.06/289,642.50
  6. Step 6: Final answer
    x = 1,266,855.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.