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Finding the Third Proportional to 295,337 and 442,915

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Solution

The third proportional to 295,337 and 442,915 is: 664,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,337 : 442,915 = 442,915 : x
  2. Step 2: Convert to fraction form
    295,337/442,915 = 442,915/x
  3. Step 3: Cross multiply
    295,337x = 442,915 × 442,915
  4. Step 4: Simplify right side
    295,337x = 196,173,697,225
  5. Step 5: Solve for x
    x = 196,173,697,225/295,337
  6. Step 6: Final answer
    x = 664,236.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.