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Finding the Third Proportional to 364,797 and 780,057

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Solution

The third proportional to 364,797 and 780,057 is: 1,668,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,797 : 780,057 = 780,057 : x
  2. Step 2: Convert to fraction form
    364,797/780,057 = 780,057/x
  3. Step 3: Cross multiply
    364,797x = 780,057 × 780,057
  4. Step 4: Simplify right side
    364,797x = 608,488,923,249
  5. Step 5: Solve for x
    x = 608,488,923,249/364,797
  6. Step 6: Final answer
    x = 1,668,020.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.