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Finding the Third Proportional to 451,602 and 664,926

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Solution

The third proportional to 451,602 and 664,926 is: 979,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,602 : 664,926 = 664,926 : x
  2. Step 2: Convert to fraction form
    451,602/664,926 = 664,926/x
  3. Step 3: Cross multiply
    451,602x = 664,926 × 664,926
  4. Step 4: Simplify right side
    451,602x = 442,126,585,476
  5. Step 5: Solve for x
    x = 442,126,585,476/451,602
  6. Step 6: Final answer
    x = 979,018.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.