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Finding the Third Proportional to 383,350.50 and 595,267.50

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Solution

The third proportional to 383,350.50 and 595,267.50 is: 924,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,350.50 : 595,267.50 = 595,267.50 : x
  2. Step 2: Convert to fraction form
    383,350.50/595,267.50 = 595,267.50/x
  3. Step 3: Cross multiply
    383,350.50x = 595,267.50 × 595,267.50
  4. Step 4: Simplify right side
    383,350.50x = 354,343,396,556.25
  5. Step 5: Solve for x
    x = 354,343,396,556.25/383,350.50
  6. Step 6: Final answer
    x = 924,332.68

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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.