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Finding the Third Proportional to 333,894 and 787,395

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Solution

The third proportional to 333,894 and 787,395 is: 1,856,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,894 : 787,395 = 787,395 : x
  2. Step 2: Convert to fraction form
    333,894/787,395 = 787,395/x
  3. Step 3: Cross multiply
    333,894x = 787,395 × 787,395
  4. Step 4: Simplify right side
    333,894x = 619,990,886,025
  5. Step 5: Solve for x
    x = 619,990,886,025/333,894
  6. Step 6: Final answer
    x = 1,856,849.44

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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.