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Finding the Third Proportional to 289,915 and 461,224.50

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Solution

The third proportional to 289,915 and 461,224.50 is: 733,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,915 : 461,224.50 = 461,224.50 : x
  2. Step 2: Convert to fraction form
    289,915/461,224.50 = 461,224.50/x
  3. Step 3: Cross multiply
    289,915x = 461,224.50 × 461,224.50
  4. Step 4: Simplify right side
    289,915x = 212,728,039,400.25
  5. Step 5: Solve for x
    x = 212,728,039,400.25/289,915
  6. Step 6: Final answer
    x = 733,760.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.