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Finding the Third Proportional to 354,829.50 and 820,611

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Solution

The third proportional to 354,829.50 and 820,611 is: 1,897,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,829.50 : 820,611 = 820,611 : x
  2. Step 2: Convert to fraction form
    354,829.50/820,611 = 820,611/x
  3. Step 3: Cross multiply
    354,829.50x = 820,611 × 820,611
  4. Step 4: Simplify right side
    354,829.50x = 673,402,413,321
  5. Step 5: Solve for x
    x = 673,402,413,321/354,829.50
  6. Step 6: Final answer
    x = 1,897,819.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.