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Finding the Third Proportional to 538,483.50 and 844,797

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Solution

The third proportional to 538,483.50 and 844,797 is: 1,325,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,483.50 : 844,797 = 844,797 : x
  2. Step 2: Convert to fraction form
    538,483.50/844,797 = 844,797/x
  3. Step 3: Cross multiply
    538,483.50x = 844,797 × 844,797
  4. Step 4: Simplify right side
    538,483.50x = 713,681,971,209
  5. Step 5: Solve for x
    x = 713,681,971,209/538,483.50
  6. Step 6: Final answer
    x = 1,325,355.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.