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Finding the Third Proportional to 543,726 and 836,113.50

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Solution

The third proportional to 543,726 and 836,113.50 is: 1,285,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,726 : 836,113.50 = 836,113.50 : x
  2. Step 2: Convert to fraction form
    543,726/836,113.50 = 836,113.50/x
  3. Step 3: Cross multiply
    543,726x = 836,113.50 × 836,113.50
  4. Step 4: Simplify right side
    543,726x = 699,085,784,882.25
  5. Step 5: Solve for x
    x = 699,085,784,882.25/543,726
  6. Step 6: Final answer
    x = 1,285,731.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.