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Finding the Third Proportional to 275,908 and 512,432

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Solution

The third proportional to 275,908 and 512,432 is: 951,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,908 : 512,432 = 512,432 : x
  2. Step 2: Convert to fraction form
    275,908/512,432 = 512,432/x
  3. Step 3: Cross multiply
    275,908x = 512,432 × 512,432
  4. Step 4: Simplify right side
    275,908x = 262,586,554,624
  5. Step 5: Solve for x
    x = 262,586,554,624/275,908
  6. Step 6: Final answer
    x = 951,717.80

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.