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Finding the Third Proportional to 289,080 and 444,884

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Solution

The third proportional to 289,080 and 444,884 is: 684,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,080 : 444,884 = 444,884 : x
  2. Step 2: Convert to fraction form
    289,080/444,884 = 444,884/x
  3. Step 3: Cross multiply
    289,080x = 444,884 × 444,884
  4. Step 4: Simplify right side
    289,080x = 197,921,773,456
  5. Step 5: Solve for x
    x = 197,921,773,456/289,080
  6. Step 6: Final answer
    x = 684,660.90

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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.