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Finding the Third Proportional to 288,664.50 and 415,807.50

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Solution

The third proportional to 288,664.50 and 415,807.50 is: 598,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,664.50 : 415,807.50 = 415,807.50 : x
  2. Step 2: Convert to fraction form
    288,664.50/415,807.50 = 415,807.50/x
  3. Step 3: Cross multiply
    288,664.50x = 415,807.50 × 415,807.50
  4. Step 4: Simplify right side
    288,664.50x = 172,895,877,056.25
  5. Step 5: Solve for x
    x = 172,895,877,056.25/288,664.50
  6. Step 6: Final answer
    x = 598,950.95

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