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Finding the Third Proportional to 536,472 and 1,160,059.50

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Solution

The third proportional to 536,472 and 1,160,059.50 is: 2,508,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,472 : 1,160,059.50 = 1,160,059.50 : x
  2. Step 2: Convert to fraction form
    536,472/1,160,059.50 = 1,160,059.50/x
  3. Step 3: Cross multiply
    536,472x = 1,160,059.50 × 1,160,059.50
  4. Step 4: Simplify right side
    536,472x = 1,345,738,043,540.25
  5. Step 5: Solve for x
    x = 1,345,738,043,540.25/536,472
  6. Step 6: Final answer
    x = 2,508,496.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.