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Finding the Third Proportional to 364,350 and 768,304

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Solution

The third proportional to 364,350 and 768,304 is: 1,620,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,350 : 768,304 = 768,304 : x
  2. Step 2: Convert to fraction form
    364,350/768,304 = 768,304/x
  3. Step 3: Cross multiply
    364,350x = 768,304 × 768,304
  4. Step 4: Simplify right side
    364,350x = 590,291,036,416
  5. Step 5: Solve for x
    x = 590,291,036,416/364,350
  6. Step 6: Final answer
    x = 1,620,120.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.