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Finding the Third Proportional to 511,484.63 and 774,334.69

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Solution

The third proportional to 511,484.63 and 774,334.69 is: 1,172,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,484.63 : 774,334.69 = 774,334.69 : x
  2. Step 2: Convert to fraction form
    511,484.63/774,334.69 = 774,334.69/x
  3. Step 3: Cross multiply
    511,484.63x = 774,334.69 × 774,334.69
  4. Step 4: Simplify right side
    511,484.63x = 599,594,208,265.72
  5. Step 5: Solve for x
    x = 599,594,208,265.72/511,484.63
  6. Step 6: Final answer
    x = 1,172,262.43

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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.