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Finding the Third Proportional to 336,865.50 and 727,701.75

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Solution

The third proportional to 336,865.50 and 727,701.75 is: 1,571,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,865.50 : 727,701.75 = 727,701.75 : x
  2. Step 2: Convert to fraction form
    336,865.50/727,701.75 = 727,701.75/x
  3. Step 3: Cross multiply
    336,865.50x = 727,701.75 × 727,701.75
  4. Step 4: Simplify right side
    336,865.50x = 529,549,836,953.06
  5. Step 5: Solve for x
    x = 529,549,836,953.06/336,865.50
  6. Step 6: Final answer
    x = 1,571,991.90

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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.