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Finding the Third Proportional to 295,488 and 443,124

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Solution

The third proportional to 295,488 and 443,124 is: 664,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488 : 443,124 = 443,124 : x
  2. Step 2: Convert to fraction form
    295,488/443,124 = 443,124/x
  3. Step 3: Cross multiply
    295,488x = 443,124 × 443,124
  4. Step 4: Simplify right side
    295,488x = 196,358,879,376
  5. Step 5: Solve for x
    x = 196,358,879,376/295,488
  6. Step 6: Final answer
    x = 664,524.04

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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.