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Finding the Third Proportional to 520,023.75 and 798,959.25

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Solution

The third proportional to 520,023.75 and 798,959.25 is: 1,227,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,023.75 : 798,959.25 = 798,959.25 : x
  2. Step 2: Convert to fraction form
    520,023.75/798,959.25 = 798,959.25/x
  3. Step 3: Cross multiply
    520,023.75x = 798,959.25 × 798,959.25
  4. Step 4: Simplify right side
    520,023.75x = 638,335,883,160.56
  5. Step 5: Solve for x
    x = 638,335,883,160.56/520,023.75
  6. Step 6: Final answer
    x = 1,227,512.94

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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.