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Finding the Third Proportional to 544,376 and 817,108

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Solution

The third proportional to 544,376 and 817,108 is: 1,226,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,376 : 817,108 = 817,108 : x
  2. Step 2: Convert to fraction form
    544,376/817,108 = 817,108/x
  3. Step 3: Cross multiply
    544,376x = 817,108 × 817,108
  4. Step 4: Simplify right side
    544,376x = 667,665,483,664
  5. Step 5: Solve for x
    x = 667,665,483,664/544,376
  6. Step 6: Final answer
    x = 1,226,478.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.