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Finding the Third Proportional to 299,743 and 451,594

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Solution

The third proportional to 299,743 and 451,594 is: 680,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,743 : 451,594 = 451,594 : x
  2. Step 2: Convert to fraction form
    299,743/451,594 = 451,594/x
  3. Step 3: Cross multiply
    299,743x = 451,594 × 451,594
  4. Step 4: Simplify right side
    299,743x = 203,937,140,836
  5. Step 5: Solve for x
    x = 203,937,140,836/299,743
  6. Step 6: Final answer
    x = 680,373.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.