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Finding the Third Proportional to 289,632 and 605,731.50

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Solution

The third proportional to 289,632 and 605,731.50 is: 1,266,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,632 : 605,731.50 = 605,731.50 : x
  2. Step 2: Convert to fraction form
    289,632/605,731.50 = 605,731.50/x
  3. Step 3: Cross multiply
    289,632x = 605,731.50 × 605,731.50
  4. Step 4: Simplify right side
    289,632x = 366,910,650,092.25
  5. Step 5: Solve for x
    x = 366,910,650,092.25/289,632
  6. Step 6: Final answer
    x = 1,266,816.68

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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.