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Finding the Third Proportional to 383,352.50 and 595,253

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Solution

The third proportional to 383,352.50 and 595,253 is: 924,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,352.50 : 595,253 = 595,253 : x
  2. Step 2: Convert to fraction form
    383,352.50/595,253 = 595,253/x
  3. Step 3: Cross multiply
    383,352.50x = 595,253 × 595,253
  4. Step 4: Simplify right side
    383,352.50x = 354,326,134,009
  5. Step 5: Solve for x
    x = 354,326,134,009/383,352.50
  6. Step 6: Final answer
    x = 924,282.83

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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.