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Finding the Third Proportional to 383,583 and 575,374

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Solution

The third proportional to 383,583 and 575,374 is: 863,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,583 : 575,374 = 575,374 : x
  2. Step 2: Convert to fraction form
    383,583/575,374 = 575,374/x
  3. Step 3: Cross multiply
    383,583x = 575,374 × 575,374
  4. Step 4: Simplify right side
    383,583x = 331,055,239,876
  5. Step 5: Solve for x
    x = 331,055,239,876/383,583
  6. Step 6: Final answer
    x = 863,060.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.