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Finding the Third Proportional to 398,976 and 597,114

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Solution

The third proportional to 398,976 and 597,114 is: 893,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,976 : 597,114 = 597,114 : x
  2. Step 2: Convert to fraction form
    398,976/597,114 = 597,114/x
  3. Step 3: Cross multiply
    398,976x = 597,114 × 597,114
  4. Step 4: Simplify right side
    398,976x = 356,545,128,996
  5. Step 5: Solve for x
    x = 356,545,128,996/398,976
  6. Step 6: Final answer
    x = 893,650.57

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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.