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Finding the Third Proportional to 458,074.50 and 997,467

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Solution

The third proportional to 458,074.50 and 997,467 is: 2,172,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,074.50 : 997,467 = 997,467 : x
  2. Step 2: Convert to fraction form
    458,074.50/997,467 = 997,467/x
  3. Step 3: Cross multiply
    458,074.50x = 997,467 × 997,467
  4. Step 4: Simplify right side
    458,074.50x = 994,940,416,089
  5. Step 5: Solve for x
    x = 994,940,416,089/458,074.50
  6. Step 6: Final answer
    x = 2,172,005.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.