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Finding the Third Proportional to 582,643.50 and 1,271,203

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Solution

The third proportional to 582,643.50 and 1,271,203 is: 2,773,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,643.50 : 1,271,203 = 1,271,203 : x
  2. Step 2: Convert to fraction form
    582,643.50/1,271,203 = 1,271,203/x
  3. Step 3: Cross multiply
    582,643.50x = 1,271,203 × 1,271,203
  4. Step 4: Simplify right side
    582,643.50x = 1,615,957,067,209
  5. Step 5: Solve for x
    x = 1,615,957,067,209/582,643.50
  6. Step 6: Final answer
    x = 2,773,491.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.