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Finding the Third Proportional to 336,231 and 725,593.50

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Solution

The third proportional to 336,231 and 725,593.50 is: 1,565,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,231 : 725,593.50 = 725,593.50 : x
  2. Step 2: Convert to fraction form
    336,231/725,593.50 = 725,593.50/x
  3. Step 3: Cross multiply
    336,231x = 725,593.50 × 725,593.50
  4. Step 4: Simplify right side
    336,231x = 526,485,927,242.25
  5. Step 5: Solve for x
    x = 526,485,927,242.25/336,231
  6. Step 6: Final answer
    x = 1,565,845.88

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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.