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Finding the Third Proportional to 511,825.50 and 774,788.25

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Solution

The third proportional to 511,825.50 and 774,788.25 is: 1,172,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,825.50 : 774,788.25 = 774,788.25 : x
  2. Step 2: Convert to fraction form
    511,825.50/774,788.25 = 774,788.25/x
  3. Step 3: Cross multiply
    511,825.50x = 774,788.25 × 774,788.25
  4. Step 4: Simplify right side
    511,825.50x = 600,296,832,338.06
  5. Step 5: Solve for x
    x = 600,296,832,338.06/511,825.50
  6. Step 6: Final answer
    x = 1,172,854.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.