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Finding the Third Proportional to 417,962 and 597,459

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Solution

The third proportional to 417,962 and 597,459 is: 854,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,962 : 597,459 = 597,459 : x
  2. Step 2: Convert to fraction form
    417,962/597,459 = 597,459/x
  3. Step 3: Cross multiply
    417,962x = 597,459 × 597,459
  4. Step 4: Simplify right side
    417,962x = 356,957,256,681
  5. Step 5: Solve for x
    x = 356,957,256,681/417,962
  6. Step 6: Final answer
    x = 854,042.37

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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.