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Finding the Third Proportional to 333,692 and 787,381

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Solution

The third proportional to 333,692 and 787,381 is: 1,857,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,692 : 787,381 = 787,381 : x
  2. Step 2: Convert to fraction form
    333,692/787,381 = 787,381/x
  3. Step 3: Cross multiply
    333,692x = 787,381 × 787,381
  4. Step 4: Simplify right side
    333,692x = 619,968,839,161
  5. Step 5: Solve for x
    x = 619,968,839,161/333,692
  6. Step 6: Final answer
    x = 1,857,907.41

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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.