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Finding the Third Proportional to 246,658 and 512,754

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Solution

The third proportional to 246,658 and 512,754 is: 1,065,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,658 : 512,754 = 512,754 : x
  2. Step 2: Convert to fraction form
    246,658/512,754 = 512,754/x
  3. Step 3: Cross multiply
    246,658x = 512,754 × 512,754
  4. Step 4: Simplify right side
    246,658x = 262,916,664,516
  5. Step 5: Solve for x
    x = 262,916,664,516/246,658
  6. Step 6: Final answer
    x = 1,065,915.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.