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Finding the Third Proportional to 281,591.81 and 583,145.63

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Solution

The third proportional to 281,591.81 and 583,145.63 is: 1,207,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,591.81 : 583,145.63 = 583,145.63 : x
  2. Step 2: Convert to fraction form
    281,591.81/583,145.63 = 583,145.63/x
  3. Step 3: Cross multiply
    281,591.81x = 583,145.63 × 583,145.63
  4. Step 4: Simplify right side
    281,591.81x = 340,058,819,956.64
  5. Step 5: Solve for x
    x = 340,058,819,956.64/281,591.81
  6. Step 6: Final answer
    x = 1,207,630.35

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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.