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Finding the Third Proportional to 383,575.50 and 519,304.50

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Solution

The third proportional to 383,575.50 and 519,304.50 is: 703,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,575.50 : 519,304.50 = 519,304.50 : x
  2. Step 2: Convert to fraction form
    383,575.50/519,304.50 = 519,304.50/x
  3. Step 3: Cross multiply
    383,575.50x = 519,304.50 × 519,304.50
  4. Step 4: Simplify right side
    383,575.50x = 269,677,163,720.25
  5. Step 5: Solve for x
    x = 269,677,163,720.25/383,575.50
  6. Step 6: Final answer
    x = 703,061.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.