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Finding the Third Proportional to 288,904.50 and 695,996.25

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Solution

The third proportional to 288,904.50 and 695,996.25 is: 1,676,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,904.50 : 695,996.25 = 695,996.25 : x
  2. Step 2: Convert to fraction form
    288,904.50/695,996.25 = 695,996.25/x
  3. Step 3: Cross multiply
    288,904.50x = 695,996.25 × 695,996.25
  4. Step 4: Simplify right side
    288,904.50x = 484,410,780,014.06
  5. Step 5: Solve for x
    x = 484,410,780,014.06/288,904.50
  6. Step 6: Final answer
    x = 1,676,715.94

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.