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Finding the Third Proportional to 333,894 and 787,397

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Solution

The third proportional to 333,894 and 787,397 is: 1,856,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,894 : 787,397 = 787,397 : x
  2. Step 2: Convert to fraction form
    333,894/787,397 = 787,397/x
  3. Step 3: Cross multiply
    333,894x = 787,397 × 787,397
  4. Step 4: Simplify right side
    333,894x = 619,994,035,609
  5. Step 5: Solve for x
    x = 619,994,035,609/333,894
  6. Step 6: Final answer
    x = 1,856,858.87

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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.