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Finding the Third Proportional to 333,893 and 787,393

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Solution

The third proportional to 333,893 and 787,393 is: 1,856,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,893 : 787,393 = 787,393 : x
  2. Step 2: Convert to fraction form
    333,893/787,393 = 787,393/x
  3. Step 3: Cross multiply
    333,893x = 787,393 × 787,393
  4. Step 4: Simplify right side
    333,893x = 619,987,736,449
  5. Step 5: Solve for x
    x = 619,987,736,449/333,893
  6. Step 6: Final answer
    x = 1,856,845.57

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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.