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Finding the Third Proportional to 544,352 and 844,944

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Solution

The third proportional to 544,352 and 844,944 is: 1,311,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,352 : 844,944 = 844,944 : x
  2. Step 2: Convert to fraction form
    544,352/844,944 = 844,944/x
  3. Step 3: Cross multiply
    544,352x = 844,944 × 844,944
  4. Step 4: Simplify right side
    544,352x = 713,930,363,136
  5. Step 5: Solve for x
    x = 713,930,363,136/544,352
  6. Step 6: Final answer
    x = 1,311,523.36

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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.