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Finding the Third Proportional to 281,570.06 and 583,100.44

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Solution

The third proportional to 281,570.06 and 583,100.44 is: 1,207,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,570.06 : 583,100.44 = 583,100.44 : x
  2. Step 2: Convert to fraction form
    281,570.06/583,100.44 = 583,100.44/x
  3. Step 3: Cross multiply
    281,570.06x = 583,100.44 × 583,100.44
  4. Step 4: Simplify right side
    281,570.06x = 340,006,120,212.69
  5. Step 5: Solve for x
    x = 340,006,120,212.69/281,570.06
  6. Step 6: Final answer
    x = 1,207,536.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.