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Finding the Third Proportional to 544,664 and 798,684

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Solution

The third proportional to 544,664 and 798,684 is: 1,171,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,664 : 798,684 = 798,684 : x
  2. Step 2: Convert to fraction form
    544,664/798,684 = 798,684/x
  3. Step 3: Cross multiply
    544,664x = 798,684 × 798,684
  4. Step 4: Simplify right side
    544,664x = 637,896,131,856
  5. Step 5: Solve for x
    x = 637,896,131,856/544,664
  6. Step 6: Final answer
    x = 1,171,173.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.