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Finding the Third Proportional to 455,350 and 731,625

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Solution

The third proportional to 455,350 and 731,625 is: 1,175,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,350 : 731,625 = 731,625 : x
  2. Step 2: Convert to fraction form
    455,350/731,625 = 731,625/x
  3. Step 3: Cross multiply
    455,350x = 731,625 × 731,625
  4. Step 4: Simplify right side
    455,350x = 535,275,140,625
  5. Step 5: Solve for x
    x = 535,275,140,625/455,350
  6. Step 6: Final answer
    x = 1,175,524.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.