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Finding the Third Proportional to 384,540.75 and 596,965.50

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Solution

The third proportional to 384,540.75 and 596,965.50 is: 926,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,540.75 : 596,965.50 = 596,965.50 : x
  2. Step 2: Convert to fraction form
    384,540.75/596,965.50 = 596,965.50/x
  3. Step 3: Cross multiply
    384,540.75x = 596,965.50 × 596,965.50
  4. Step 4: Simplify right side
    384,540.75x = 356,367,808,190.25
  5. Step 5: Solve for x
    x = 356,367,808,190.25/384,540.75
  6. Step 6: Final answer
    x = 926,736.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.