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Finding the Third Proportional to 250,359 and 384,287

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Solution

The third proportional to 250,359 and 384,287 is: 589,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,359 : 384,287 = 384,287 : x
  2. Step 2: Convert to fraction form
    250,359/384,287 = 384,287/x
  3. Step 3: Cross multiply
    250,359x = 384,287 × 384,287
  4. Step 4: Simplify right side
    250,359x = 147,676,498,369
  5. Step 5: Solve for x
    x = 147,676,498,369/250,359
  6. Step 6: Final answer
    x = 589,858.96

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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.