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Finding the Third Proportional to 417,964 and 597,462

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Solution

The third proportional to 417,964 and 597,462 is: 854,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,964 : 597,462 = 597,462 : x
  2. Step 2: Convert to fraction form
    417,964/597,462 = 597,462/x
  3. Step 3: Cross multiply
    417,964x = 597,462 × 597,462
  4. Step 4: Simplify right side
    417,964x = 356,960,841,444
  5. Step 5: Solve for x
    x = 356,960,841,444/417,964
  6. Step 6: Final answer
    x = 854,046.86

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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.