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Finding the Third Proportional to 544,000 and 844,416

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Solution

The third proportional to 544,000 and 844,416 is: 1,310,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,000 : 844,416 = 844,416 : x
  2. Step 2: Convert to fraction form
    544,000/844,416 = 844,416/x
  3. Step 3: Cross multiply
    544,000x = 844,416 × 844,416
  4. Step 4: Simplify right side
    544,000x = 713,038,381,056
  5. Step 5: Solve for x
    x = 713,038,381,056/544,000
  6. Step 6: Final answer
    x = 1,310,732.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.