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Finding the Third Proportional to 265,003.31 and 580,473.84

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Solution

The third proportional to 265,003.31 and 580,473.84 is: 1,271,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,003.31 : 580,473.84 = 580,473.84 : x
  2. Step 2: Convert to fraction form
    265,003.31/580,473.84 = 580,473.84/x
  3. Step 3: Cross multiply
    265,003.31x = 580,473.84 × 580,473.84
  4. Step 4: Simplify right side
    265,003.31x = 336,949,883,277.90
  5. Step 5: Solve for x
    x = 336,949,883,277.90/265,003.31
  6. Step 6: Final answer
    x = 1,271,493.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.