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Finding the Third Proportional to 494,742 and 751,553

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Solution

The third proportional to 494,742 and 751,553 is: 1,141,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,742 : 751,553 = 751,553 : x
  2. Step 2: Convert to fraction form
    494,742/751,553 = 751,553/x
  3. Step 3: Cross multiply
    494,742x = 751,553 × 751,553
  4. Step 4: Simplify right side
    494,742x = 564,831,911,809
  5. Step 5: Solve for x
    x = 564,831,911,809/494,742
  6. Step 6: Final answer
    x = 1,141,669.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.