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Finding the Third Proportional to 301,124 and 443,376

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Solution

The third proportional to 301,124 and 443,376 is: 652,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,124 : 443,376 = 443,376 : x
  2. Step 2: Convert to fraction form
    301,124/443,376 = 443,376/x
  3. Step 3: Cross multiply
    301,124x = 443,376 × 443,376
  4. Step 4: Simplify right side
    301,124x = 196,582,277,376
  5. Step 5: Solve for x
    x = 196,582,277,376/301,124
  6. Step 6: Final answer
    x = 652,828.33

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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.