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Finding the Third Proportional to 388,383.75 and 596,110.50

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Solution

The third proportional to 388,383.75 and 596,110.50 is: 914,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,383.75 : 596,110.50 = 596,110.50 : x
  2. Step 2: Convert to fraction form
    388,383.75/596,110.50 = 596,110.50/x
  3. Step 3: Cross multiply
    388,383.75x = 596,110.50 × 596,110.50
  4. Step 4: Simplify right side
    388,383.75x = 355,347,728,210.25
  5. Step 5: Solve for x
    x = 355,347,728,210.25/388,383.75
  6. Step 6: Final answer
    x = 914,939.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.