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Finding the Third Proportional to 363,834 and 765,370

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Solution

The third proportional to 363,834 and 765,370 is: 1,610,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,834 : 765,370 = 765,370 : x
  2. Step 2: Convert to fraction form
    363,834/765,370 = 765,370/x
  3. Step 3: Cross multiply
    363,834x = 765,370 × 765,370
  4. Step 4: Simplify right side
    363,834x = 585,791,236,900
  5. Step 5: Solve for x
    x = 585,791,236,900/363,834
  6. Step 6: Final answer
    x = 1,610,050.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.