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Finding the Third Proportional to 333,806 and 512,374

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Solution

The third proportional to 333,806 and 512,374 is: 786,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,806 : 512,374 = 512,374 : x
  2. Step 2: Convert to fraction form
    333,806/512,374 = 512,374/x
  3. Step 3: Cross multiply
    333,806x = 512,374 × 512,374
  4. Step 4: Simplify right side
    333,806x = 262,527,115,876
  5. Step 5: Solve for x
    x = 262,527,115,876/333,806
  6. Step 6: Final answer
    x = 786,466.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.