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Finding the Third Proportional to 519,351.75 and 797,176.69

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Solution

The third proportional to 519,351.75 and 797,176.69 is: 1,223,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,351.75 : 797,176.69 = 797,176.69 : x
  2. Step 2: Convert to fraction form
    519,351.75/797,176.69 = 797,176.69/x
  3. Step 3: Cross multiply
    519,351.75x = 797,176.69 × 797,176.69
  4. Step 4: Simplify right side
    519,351.75x = 635,490,671,093.47
  5. Step 5: Solve for x
    x = 635,490,671,093.47/519,351.75
  6. Step 6: Final answer
    x = 1,223,622.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.