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Finding the Third Proportional to 250,783 and 384,922

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Solution

The third proportional to 250,783 and 384,922 is: 590,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,783 : 384,922 = 384,922 : x
  2. Step 2: Convert to fraction form
    250,783/384,922 = 384,922/x
  3. Step 3: Cross multiply
    250,783x = 384,922 × 384,922
  4. Step 4: Simplify right side
    250,783x = 148,164,946,084
  5. Step 5: Solve for x
    x = 148,164,946,084/250,783
  6. Step 6: Final answer
    x = 590,809.37

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