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Finding the Third Proportional to 250,353 and 384,277

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Solution

The third proportional to 250,353 and 384,277 is: 589,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,353 : 384,277 = 384,277 : x
  2. Step 2: Convert to fraction form
    250,353/384,277 = 384,277/x
  3. Step 3: Cross multiply
    250,353x = 384,277 × 384,277
  4. Step 4: Simplify right side
    250,353x = 147,668,812,729
  5. Step 5: Solve for x
    x = 147,668,812,729/250,353
  6. Step 6: Final answer
    x = 589,842.39

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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.