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Finding the Third Proportional to 343,564.03 and 522,453.80

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Solution

The third proportional to 343,564.03 and 522,453.80 is: 794,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,564.03 : 522,453.80 = 522,453.80 : x
  2. Step 2: Convert to fraction form
    343,564.03/522,453.80 = 522,453.80/x
  3. Step 3: Cross multiply
    343,564.03x = 522,453.80 × 522,453.80
  4. Step 4: Simplify right side
    343,564.03x = 272,957,969,869.10
  5. Step 5: Solve for x
    x = 272,957,969,869.10/343,564.03
  6. Step 6: Final answer
    x = 794,489.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.