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Finding the Third Proportional to 289,095 and 444,915

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Solution

The third proportional to 289,095 and 444,915 is: 684,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,095 : 444,915 = 444,915 : x
  2. Step 2: Convert to fraction form
    289,095/444,915 = 444,915/x
  3. Step 3: Cross multiply
    289,095x = 444,915 × 444,915
  4. Step 4: Simplify right side
    289,095x = 197,949,357,225
  5. Step 5: Solve for x
    x = 197,949,357,225/289,095
  6. Step 6: Final answer
    x = 684,720.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.