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Finding the Third Proportional to 383,400.84 and 595,331.02

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Solution

The third proportional to 383,400.84 and 595,331.02 is: 924,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,400.84 : 595,331.02 = 595,331.02 : x
  2. Step 2: Convert to fraction form
    383,400.84/595,331.02 = 595,331.02/x
  3. Step 3: Cross multiply
    383,400.84x = 595,331.02 × 595,331.02
  4. Step 4: Simplify right side
    383,400.84x = 354,419,018,165.09
  5. Step 5: Solve for x
    x = 354,419,018,165.09/383,400.84
  6. Step 6: Final answer
    x = 924,408.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.