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Finding the Third Proportional to 365,531 and 815,110

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Solution

The third proportional to 365,531 and 815,110 is: 1,817,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,531 : 815,110 = 815,110 : x
  2. Step 2: Convert to fraction form
    365,531/815,110 = 815,110/x
  3. Step 3: Cross multiply
    365,531x = 815,110 × 815,110
  4. Step 4: Simplify right side
    365,531x = 664,404,312,100
  5. Step 5: Solve for x
    x = 664,404,312,100/365,531
  6. Step 6: Final answer
    x = 1,817,641.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.