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Finding the Third Proportional to 333,880 and 787,374

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Solution

The third proportional to 333,880 and 787,374 is: 1,856,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,880 : 787,374 = 787,374 : x
  2. Step 2: Convert to fraction form
    333,880/787,374 = 787,374/x
  3. Step 3: Cross multiply
    333,880x = 787,374 × 787,374
  4. Step 4: Simplify right side
    333,880x = 619,957,815,876
  5. Step 5: Solve for x
    x = 619,957,815,876/333,880
  6. Step 6: Final answer
    x = 1,856,828.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.