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Finding the Third Proportional to 594,000 and 787,650.75

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Solution

The third proportional to 594,000 and 787,650.75 is: 1,044,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,000 : 787,650.75 = 787,650.75 : x
  2. Step 2: Convert to fraction form
    594,000/787,650.75 = 787,650.75/x
  3. Step 3: Cross multiply
    594,000x = 787,650.75 × 787,650.75
  4. Step 4: Simplify right side
    594,000x = 620,393,703,975.56
  5. Step 5: Solve for x
    x = 620,393,703,975.56/594,000
  6. Step 6: Final answer
    x = 1,044,433.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.