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Finding the Third Proportional to 519,972.75 and 798,882

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Solution

The third proportional to 519,972.75 and 798,882 is: 1,227,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,972.75 : 798,882 = 798,882 : x
  2. Step 2: Convert to fraction form
    519,972.75/798,882 = 798,882/x
  3. Step 3: Cross multiply
    519,972.75x = 798,882 × 798,882
  4. Step 4: Simplify right side
    519,972.75x = 638,212,449,924
  5. Step 5: Solve for x
    x = 638,212,449,924/519,972.75
  6. Step 6: Final answer
    x = 1,227,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.