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Finding the Third Proportional to 417,966 and 597,464

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Solution

The third proportional to 417,966 and 597,464 is: 854,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,966 : 597,464 = 597,464 : x
  2. Step 2: Convert to fraction form
    417,966/597,464 = 597,464/x
  3. Step 3: Cross multiply
    417,966x = 597,464 × 597,464
  4. Step 4: Simplify right side
    417,966x = 356,963,231,296
  5. Step 5: Solve for x
    x = 356,963,231,296/417,966
  6. Step 6: Final answer
    x = 854,048.49

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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.