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Finding the Third Proportional to 512,246 and 751,754

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Solution

The third proportional to 512,246 and 751,754 is: 1,103,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,246 : 751,754 = 751,754 : x
  2. Step 2: Convert to fraction form
    512,246/751,754 = 751,754/x
  3. Step 3: Cross multiply
    512,246x = 751,754 × 751,754
  4. Step 4: Simplify right side
    512,246x = 565,134,076,516
  5. Step 5: Solve for x
    x = 565,134,076,516/512,246
  6. Step 6: Final answer
    x = 1,103,247.42

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Why These Related Problems?

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