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Finding the Third Proportional to 544,044 and 817,434

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Solution

The third proportional to 544,044 and 817,434 is: 1,228,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,044 : 817,434 = 817,434 : x
  2. Step 2: Convert to fraction form
    544,044/817,434 = 817,434/x
  3. Step 3: Cross multiply
    544,044x = 817,434 × 817,434
  4. Step 4: Simplify right side
    544,044x = 668,198,344,356
  5. Step 5: Solve for x
    x = 668,198,344,356/544,044
  6. Step 6: Final answer
    x = 1,228,206.44

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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.