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Finding the Third Proportional to 535,315.50 and 1,188,729

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Solution

The third proportional to 535,315.50 and 1,188,729 is: 2,639,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,315.50 : 1,188,729 = 1,188,729 : x
  2. Step 2: Convert to fraction form
    535,315.50/1,188,729 = 1,188,729/x
  3. Step 3: Cross multiply
    535,315.50x = 1,188,729 × 1,188,729
  4. Step 4: Simplify right side
    535,315.50x = 1,413,076,635,441
  5. Step 5: Solve for x
    x = 1,413,076,635,441/535,315.50
  6. Step 6: Final answer
    x = 2,639,708.05

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.