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Finding the Third Proportional to 512,898.75 and 1,187,367.75

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Solution

The third proportional to 512,898.75 and 1,187,367.75 is: 2,748,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,898.75 : 1,187,367.75 = 1,187,367.75 : x
  2. Step 2: Convert to fraction form
    512,898.75/1,187,367.75 = 1,187,367.75/x
  3. Step 3: Cross multiply
    512,898.75x = 1,187,367.75 × 1,187,367.75
  4. Step 4: Simplify right side
    512,898.75x = 1,409,842,173,740.06
  5. Step 5: Solve for x
    x = 1,409,842,173,740.06/512,898.75
  6. Step 6: Final answer
    x = 2,748,772.88

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.