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Finding the Third Proportional to 429,342.50 and 583,081.75

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Solution

The third proportional to 429,342.50 and 583,081.75 is: 791,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,342.50 : 583,081.75 = 583,081.75 : x
  2. Step 2: Convert to fraction form
    429,342.50/583,081.75 = 583,081.75/x
  3. Step 3: Cross multiply
    429,342.50x = 583,081.75 × 583,081.75
  4. Step 4: Simplify right side
    429,342.50x = 339,984,327,183.06
  5. Step 5: Solve for x
    x = 339,984,327,183.06/429,342.50
  6. Step 6: Final answer
    x = 791,872.05

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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.