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Finding the Third Proportional to 429,380.50 and 583,141.75

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Solution

The third proportional to 429,380.50 and 583,141.75 is: 791,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,380.50 : 583,141.75 = 583,141.75 : x
  2. Step 2: Convert to fraction form
    429,380.50/583,141.75 = 583,141.75/x
  3. Step 3: Cross multiply
    429,380.50x = 583,141.75 × 583,141.75
  4. Step 4: Simplify right side
    429,380.50x = 340,054,300,593.06
  5. Step 5: Solve for x
    x = 340,054,300,593.06/429,380.50
  6. Step 6: Final answer
    x = 791,964.94

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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.