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Finding the Third Proportional to 288,714 and 444,343.50

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Solution

The third proportional to 288,714 and 444,343.50 is: 683,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,714 : 444,343.50 = 444,343.50 : x
  2. Step 2: Convert to fraction form
    288,714/444,343.50 = 444,343.50/x
  3. Step 3: Cross multiply
    288,714x = 444,343.50 × 444,343.50
  4. Step 4: Simplify right side
    288,714x = 197,441,145,992.25
  5. Step 5: Solve for x
    x = 197,441,145,992.25/288,714
  6. Step 6: Final answer
    x = 683,864.12

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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.