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Finding the Third Proportional to 289,076 and 444,878

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Solution

The third proportional to 289,076 and 444,878 is: 684,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,076 : 444,878 = 444,878 : x
  2. Step 2: Convert to fraction form
    289,076/444,878 = 444,878/x
  3. Step 3: Cross multiply
    289,076x = 444,878 × 444,878
  4. Step 4: Simplify right side
    289,076x = 197,916,434,884
  5. Step 5: Solve for x
    x = 197,916,434,884/289,076
  6. Step 6: Final answer
    x = 684,651.91

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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.