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Finding the Third Proportional to 429,378.75 and 583,137.56

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Solution

The third proportional to 429,378.75 and 583,137.56 is: 791,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,378.75 : 583,137.56 = 583,137.56 : x
  2. Step 2: Convert to fraction form
    429,378.75/583,137.56 = 583,137.56/x
  3. Step 3: Cross multiply
    429,378.75x = 583,137.56 × 583,137.56
  4. Step 4: Simplify right side
    429,378.75x = 340,049,416,798.44
  5. Step 5: Solve for x
    x = 340,049,416,798.44/429,378.75
  6. Step 6: Final answer
    x = 791,956.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.