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Finding the Third Proportional to 417,960 and 597,456

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Solution

The third proportional to 417,960 and 597,456 is: 854,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,960 : 597,456 = 597,456 : x
  2. Step 2: Convert to fraction form
    417,960/597,456 = 597,456/x
  3. Step 3: Cross multiply
    417,960x = 597,456 × 597,456
  4. Step 4: Simplify right side
    417,960x = 356,953,671,936
  5. Step 5: Solve for x
    x = 356,953,671,936/417,960
  6. Step 6: Final answer
    x = 854,037.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.