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Finding the Third Proportional to 297,003 and 393,829.50

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Solution

The third proportional to 297,003 and 393,829.50 is: 522,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,003 : 393,829.50 = 393,829.50 : x
  2. Step 2: Convert to fraction form
    297,003/393,829.50 = 393,829.50/x
  3. Step 3: Cross multiply
    297,003x = 393,829.50 × 393,829.50
  4. Step 4: Simplify right side
    297,003x = 155,101,675,070.25
  5. Step 5: Solve for x
    x = 155,101,675,070.25/297,003
  6. Step 6: Final answer
    x = 522,222.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.