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Finding the Third Proportional to 512,236 and 740,032

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Solution

The third proportional to 512,236 and 740,032 is: 1,069,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,236 : 740,032 = 740,032 : x
  2. Step 2: Convert to fraction form
    512,236/740,032 = 740,032/x
  3. Step 3: Cross multiply
    512,236x = 740,032 × 740,032
  4. Step 4: Simplify right side
    512,236x = 547,647,361,024
  5. Step 5: Solve for x
    x = 547,647,361,024/512,236
  6. Step 6: Final answer
    x = 1,069,130.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.