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Finding the Third Proportional to 532,372.50 and 1,161,102.09

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Solution

The third proportional to 532,372.50 and 1,161,102.09 is: 2,532,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,372.50 : 1,161,102.09 = 1,161,102.09 : x
  2. Step 2: Convert to fraction form
    532,372.50/1,161,102.09 = 1,161,102.09/x
  3. Step 3: Cross multiply
    532,372.50x = 1,161,102.09 × 1,161,102.09
  4. Step 4: Simplify right side
    532,372.50x = 1,348,158,072,110.63
  5. Step 5: Solve for x
    x = 1,348,158,072,110.63/532,372.50
  6. Step 6: Final answer
    x = 2,532,358.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.