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Finding the Third Proportional to 304,779 and 448,329

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Solution

The third proportional to 304,779 and 448,329 is: 659,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,779 : 448,329 = 448,329 : x
  2. Step 2: Convert to fraction form
    304,779/448,329 = 448,329/x
  3. Step 3: Cross multiply
    304,779x = 448,329 × 448,329
  4. Step 4: Simplify right side
    304,779x = 200,998,892,241
  5. Step 5: Solve for x
    x = 200,998,892,241/304,779
  6. Step 6: Final answer
    x = 659,490.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.