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Finding the Third Proportional to 289,324 and 444,982

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Solution

The third proportional to 289,324 and 444,982 is: 684,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,324 : 444,982 = 444,982 : x
  2. Step 2: Convert to fraction form
    289,324/444,982 = 444,982/x
  3. Step 3: Cross multiply
    289,324x = 444,982 × 444,982
  4. Step 4: Simplify right side
    289,324x = 198,008,980,324
  5. Step 5: Solve for x
    x = 198,008,980,324/289,324
  6. Step 6: Final answer
    x = 684,384.91

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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.