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Finding the Third Proportional to 455,354 and 731,631

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Solution

The third proportional to 455,354 and 731,631 is: 1,175,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,354 : 731,631 = 731,631 : x
  2. Step 2: Convert to fraction form
    455,354/731,631 = 731,631/x
  3. Step 3: Cross multiply
    455,354x = 731,631 × 731,631
  4. Step 4: Simplify right side
    455,354x = 535,283,920,161
  5. Step 5: Solve for x
    x = 535,283,920,161/455,354
  6. Step 6: Final answer
    x = 1,175,533.59

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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.