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Finding the Third Proportional to 512,247 and 751,762.50

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Solution

The third proportional to 512,247 and 751,762.50 is: 1,103,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,247 : 751,762.50 = 751,762.50 : x
  2. Step 2: Convert to fraction form
    512,247/751,762.50 = 751,762.50/x
  3. Step 3: Cross multiply
    512,247x = 751,762.50 × 751,762.50
  4. Step 4: Simplify right side
    512,247x = 565,146,856,406.25
  5. Step 5: Solve for x
    x = 565,146,856,406.25/512,247
  6. Step 6: Final answer
    x = 1,103,270.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.