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Finding the Third Proportional to 358,395 and 769,914

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Solution

The third proportional to 358,395 and 769,914 is: 1,653,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,395 : 769,914 = 769,914 : x
  2. Step 2: Convert to fraction form
    358,395/769,914 = 769,914/x
  3. Step 3: Cross multiply
    358,395x = 769,914 × 769,914
  4. Step 4: Simplify right side
    358,395x = 592,767,567,396
  5. Step 5: Solve for x
    x = 592,767,567,396/358,395
  6. Step 6: Final answer
    x = 1,653,950.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.