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Finding the Third Proportional to 398,982 and 597,122

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Solution

The third proportional to 398,982 and 597,122 is: 893,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,982 : 597,122 = 597,122 : x
  2. Step 2: Convert to fraction form
    398,982/597,122 = 597,122/x
  3. Step 3: Cross multiply
    398,982x = 597,122 × 597,122
  4. Step 4: Simplify right side
    398,982x = 356,554,682,884
  5. Step 5: Solve for x
    x = 356,554,682,884/398,982
  6. Step 6: Final answer
    x = 893,661.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.