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Finding the Third Proportional to 464,456 and 694,956

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Solution

The third proportional to 464,456 and 694,956 is: 1,039,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,456 : 694,956 = 694,956 : x
  2. Step 2: Convert to fraction form
    464,456/694,956 = 694,956/x
  3. Step 3: Cross multiply
    464,456x = 694,956 × 694,956
  4. Step 4: Simplify right side
    464,456x = 482,963,841,936
  5. Step 5: Solve for x
    x = 482,963,841,936/464,456
  6. Step 6: Final answer
    x = 1,039,848.43

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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.